Lcm Of 5 And 14

LCM of five and xiv

LCM of 5 and 14 is the smallest number among all mutual multiples of 5 and xiv. The first few multiples of v and 14 are (5, ten, 15, twenty, 25, 30, 35, . . . ) and (xiv, 28, 42, 56, 70, . . . ) respectively. There are three usually used methods to find LCM of 5 and 14 - past prime factorization, by list multiples, and past sectionalization method.

1.	LCM of five and 14
2.	List of Methods
3.	Solved Examples
4.	FAQs

What is the LCM of 5 and 14?

Answer: LCM of 5 and 14 is 70.

LCM of 5 and 14

Explanation:

The LCM of ii non-zero integers, x(v) and y(xiv), is the smallest positive integer 1000(70) that is divisible by both 10(5) and y(14) without any remainder.

Methods to Find LCM of 5 and 14

The methods to find the LCM of five and 14 are explained below.

By Prime Factorization Method
By Listing Multiples
Past Division Method

LCM of 5 and 14 past Prime Factorization

Prime factorization of 5 and 14 is (5) = five¹ and (2 × 7) = ii¹ × 7¹ respectively. LCM of 5 and 14 tin can be obtained by multiplying prime factors raised to their respective highest power, i.e. iiⁱ × 5ⁱ × 7¹ = seventy.
Hence, the LCM of v and xiv by prime factorization is 70.

LCM of five and 14 by Listing Multiples

To calculate the LCM of 5 and 14 by listing out the mutual multiples, we tin can follow the given below steps:

Footstep 1: List a few multiples of five (5, 10, 15, 20, 25, xxx, 35, . . . ) and fourteen (14, 28, 42, 56, seventy, . . . . )
Step 2: The mutual multiples from the multiples of v and 14 are 70, 140, . . .
Step 3: The smallest common multiple of 5 and 14 is 70.

∴ The least common multiple of 5 and 14 = 70.

LCM of 5 and 14 by Sectionalization Method

LCM of 5 and 14 by Division Method

To calculate the LCM of five and fourteen by the division method, we will split the numbers(v, xiv) by their prime factors (preferably common). The production of these divisors gives the LCM of 5 and 14.

Step 1: Discover the smallest prime number that is a factor of at least i of the numbers, v and 14. Write this prime number(two) on the left of the given numbers(five and xiv), separated every bit per the ladder arrangement.
Step 2: If whatsoever of the given numbers (5, 14) is a multiple of ii, split up it past 2 and write the quotient below information technology. Bring downwards any number that is not divisible by the prime.
Stride 3: Continue the steps until but 1s are left in the last row.

The LCM of v and fourteen is the product of all prime numbers on the left, i.due east. LCM(5, 14) by partition method = 2 × 5 × seven = 70.

☛ Also Check:

LCM of seven and 17 - 119
LCM of xiv and xx - 140
LCM of 3, 9 and 12 - 36
LCM of 21 and 30 - 210
LCM of 5, 8 and 12 - 120
LCM of 30 and sixty - 60
LCM of 9 and 21 - 63

FAQs on LCM of 5 and fourteen

What is the LCM of 5 and fourteen?

The LCM of 5 and xiv is 70 . To find the LCM (least common multiple) of 5 and xiv, we need to notice the multiples of 5 and 14 (multiples of 5 = v, x, 15, twenty . . . . 70; multiples of 14 = xiv, 28, 42, 56 . . . . 70) and cull the smallest multiple that is exactly divisible by v and 14, i.e., lxx.

Which of the post-obit is the LCM of 5 and fourteen? ii, 27, 70, 50

The value of LCM of 5, 14 is the smallest common multiple of v and 14. The number satisfying the given status is 70.

What is the Least Perfect Square Divisible by 5 and 14?

The least number divisible by 5 and fourteen = LCM(five, xiv)
LCM of 5 and 14 = 2 × 5 × vii [Incomplete pair(due south): 2, five, seven]
⇒ Least perfect foursquare divisible by each 5 and fourteen = LCM(five, 14) × ii × 5 × seven = 4900 [Square root of 4900 = √4900 = ±seventy]
Therefore, 4900 is the required number.

If the LCM of fourteen and 5 is lxx, Discover its GCF.

LCM(14, 5) × GCF(14, v) = fourteen × 5
Since the LCM of fourteen and 5 = 70
⇒ 70 × GCF(14, 5) = 70
Therefore, the greatest common gene = seventy/70 = i.

What is the Relation Between GCF and LCM of 5, fourteen?

The following equation can exist used to express the relation between GCF and LCM of 5 and 14, i.e. GCF × LCM = five × 14.

Lcm Of 5 And 14,

Source: https://www.cuemath.com/numbers/lcm-of-5-and-14/

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