Least Common Multiple of 932/12, 742/5644

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 932/12, 742/5644 quickly i.e. 86443 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 932/12, 742/5644 is 86443.

LCM(932/12, 742/5644) = 86443

LCM of 932/12, 742/5644

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 932/12,742/5644

Given numbers are 932/12,742/5644

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 932,742

Least Common Multiple of Numerators i.e. LCM of 932,742 is 345772.

GCF of Denominators means GCF of 12,5644 as per the given fractions.

GCF of 12,5644 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 932,742

LCM of Fractions 932/12,742/5644 is 86443

2 932, 742
466, 371

∴ So the LCM of the given numbers is 2 x 466 x 371 = 345772

Least Common Multiple of 932,742 with GCF Formula

Least Common Multiple of 932,742 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 932,742 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(932,742) = 2

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

GCF(932,742) x common factors =2 x 1 = 2

LCM(932,742) = ( 932 × 742 ) / 2

LCM(932,742) = 691544 / 2

LCM(932,742) = 345772


Lets's calculate GCF of 12,5644

2 12, 5644
2 6, 2822
3, 1411

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 345772/4

Therefore the LCM of Fractions 932/12,742/5644 is 86443

Greatest Common Factor of 12,5644 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,5644 By Matching Biggest Common Factor Method

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 5644

List of positive integer factors of 5644 that divides 5644 without a remainder.

1,2,4,17,34,68,83,166,332,1411,2822,5644

Greatest Common Factor

We found the factors 12,5644 . The biggest common factor number is the GCF number.
So the greatest common factor 12,5644 is 4.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 932/12, 742/5644

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 932/12, 742/5644?

Answer: LCM of Numerators as per given numbers 932/12, 742/5644 is

LCM of Numerators i.e. for 932,742 is 345772

GCF of denominators i.e. for 12,5644 is 4.

Thus, LCM of Fractions is 86443.Finally, LCM of Fractions for 932/12, 742/5644 is 86443.