Least Common Multiple of 966/60, 524/6718

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 966/60, 524/6718 quickly i.e. 126546 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 966/60, 524/6718 is 126546.

LCM(966/60, 524/6718) = 126546

LCM of 966/60, 524/6718

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 966/60,524/6718

Given numbers are 966/60,524/6718

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 966,524

Least Common Multiple of Numerators i.e. LCM of 966,524 is 253092.

GCF of Denominators means GCF of 60,6718 as per the given fractions.

GCF of 60,6718 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 966,524

LCM of Fractions 966/60,524/6718 is 126546

2 966, 524
483, 262

∴ So the LCM of the given numbers is 2 x 483 x 262 = 253092

Least Common Multiple of 966,524 with GCF Formula

Least Common Multiple of 966,524 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 966,524 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(966,524) = 2

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

GCF(966,524) x common factors =2 x 1 = 2

LCM(966,524) = ( 966 × 524 ) / 2

LCM(966,524) = 506184 / 2

LCM(966,524) = 253092


Lets's calculate GCF of 60,6718

2 60, 6718
30, 3359

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 253092/2

Therefore the LCM of Fractions 966/60,524/6718 is 126546

Greatest Common Factor of 60,6718 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,6718 By Matching Biggest Common Factor Method

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 6718

List of positive integer factors of 6718 that divides 6718 without a remainder.

1,2,3359,6718

Greatest Common Factor

We found the factors 60,6718 . The biggest common factor number is the GCF number.
So the greatest common factor 60,6718 is 2.


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 966/60, 524/6718

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 966/60, 524/6718?

Answer: LCM of Numerators as per given numbers 966/60, 524/6718 is

LCM of Numerators i.e. for 966,524 is 253092

GCF of denominators i.e. for 60,6718 is 2.

Thus, LCM of Fractions is 126546.Finally, LCM of Fractions for 966/60, 524/6718 is 126546.