Least Common Multiple of 107/952, 512/574

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 107/952, 512/574 quickly i.e. 54784/14 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 107/952, 512/574 is 54784/14.

LCM(107/952, 512/574) = 54784/14

LCM of 107/952, 512/574

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 107/952,512/574

Given numbers are 107/952,512/574

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 107,512

Least Common Multiple of Numerators i.e. LCM of 107,512 is 54784.

GCF of Denominators means GCF of 952,574 as per the given fractions.

GCF of 952,574 is 14 as it is the largest common factor for these numbers.

Lets's calculate LCM of 107,512

LCM of Fractions 107/952,512/574 is 54784/14

Given numbers has no common factors except 1. So, there LCM is their product i.e 54784

Least Common Multiple of 107,512 with GCF Formula

Least Common Multiple of 107,512 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 107,512 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(107,512) = 1

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

GCF(107,512) x common factors =1 x 1 = 1

LCM(107,512) = ( 107 × 512 ) / 1

LCM(107,512) = 54784 / 1

LCM(107,512) = 54784


Lets's calculate GCF of 952,574

2 952, 574
7 476, 287
68, 41

∴ So the GCF of the given numbers is 2 x 7 = 14

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 54784/14

Therefore the LCM of Fractions 107/952,512/574 is 54784/14

Greatest Common Factor of 952,574 By Matching Biggest Common Factor Method

Greatest Common Factor of 952,574 By Matching Biggest Common Factor Method

Factors of 952

List of positive integer factors of 952 that divides 952 without a remainder.

1,2,4,7,8,14,17,28,34,56,68,119,136,238,476,952

Factors of 574

List of positive integer factors of 574 that divides 574 without a remainder.

1,2,7,14,41,82,287,574

Greatest Common Factor

We found the factors 952,574 . The biggest common factor number is the GCF number.
So the greatest common factor 952,574 is 14.


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 107/952, 512/574

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 107/952, 512/574?

Answer: LCM of Numerators as per given numbers 107/952, 512/574 is

LCM of Numerators i.e. for 107,512 is 54784

GCF of denominators i.e. for 952,574 is 14.

Thus, LCM of Fractions is 54784/14.Finally, LCM of Fractions for 107/952, 512/574 is 54784/14.