Least Common Multiple of 656/29, 432/2494

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 656/29, 432/2494 quickly i.e. 17712/29 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 656/29, 432/2494 is 17712/29.

LCM(656/29, 432/2494) = 17712/29

LCM of 656/29, 432/2494

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 656/29,432/2494

Given numbers are 656/29,432/2494

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 656,432

Least Common Multiple of Numerators i.e. LCM of 656,432 is 17712.

GCF of Denominators means GCF of 29,2494 as per the given fractions.

GCF of 29,2494 is 29 as it is the largest common factor for these numbers.

Lets's calculate LCM of 656,432

LCM of Fractions 656/29,432/2494 is 17712/29

2 656, 432
2 328, 216
2 164, 108
2 82, 54
41, 27

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 41 x 27 = 17712

Least Common Multiple of 656,432 with GCF Formula

Least Common Multiple of 656,432 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 656,432 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(656,432) = 16

common factors(in case of two or more numbers have common factors) = 1

GCF(656,432) x common factors =16 x 1 = 16

LCM(656,432) = ( 656 × 432 ) / 16

LCM(656,432) = 283392 / 16

LCM(656,432) = 17712


Lets's calculate GCF of 29,2494

29 29, 2494
1, 86

∴ So the GCF of the given numbers is 29 = 29

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17712/29

Therefore the LCM of Fractions 656/29,432/2494 is 17712/29

Greatest Common Factor of 29,2494 By Matching Biggest Common Factor Method

Greatest Common Factor of 29,2494 By Matching Biggest Common Factor Method

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 2494

List of positive integer factors of 2494 that divides 2494 without a remainder.

1,2,29,43,58,86,1247,2494

Greatest Common Factor

We found the factors 29,2494 . The biggest common factor number is the GCF number.
So the greatest common factor 29,2494 is 29.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 656/29, 432/2494

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 656/29, 432/2494?

Answer: LCM of Numerators as per given numbers 656/29, 432/2494 is

LCM of Numerators i.e. for 656,432 is 17712

GCF of denominators i.e. for 29,2494 is 29.

Thus, LCM of Fractions is 17712/29.Finally, LCM of Fractions for 656/29, 432/2494 is 17712/29.