Least Common Multiple of 76/524, 97/622, 686/364

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/524, 97/622, 686/364 quickly i.e. 1264298 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/524, 97/622, 686/364 is 1264298.

LCM(76/524, 97/622, 686/364) = 1264298

LCM of 76/524, 97/622, 686/364

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 76/524,97/622,686/364

Given numbers are 76/524,97/622,686/364

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 76,97,686

Least Common Multiple of Numerators i.e. LCM of 76,97,686 is 2528596.

GCF of Denominators means GCF of 524,622,364 as per the given fractions.

GCF of 524,622,364 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,97,686

LCM of Fractions 76/524,97/622,686/364 is 1264298

2 76, 97, 686
38, 97, 343

∴ So the LCM of the given numbers is 2 x 38 x 97 x 343 = 2528596

Least Common Multiple of 76,97,686 with GCF Formula

Least Common Multiple of 76,97,686 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 76,97,686 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,97,686) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(76,97,686) x common factors =1 x 2 = 2

LCM(76,97,686) = ( 76 × 97 × 686 ) / 2

LCM(76,97,686) = 5057192 / 2

LCM(76,97,686) = 2528596


Lets's calculate GCF of 524,622,364

2 524, 622, 364
262, 311, 182

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2528596/2

Therefore the LCM of Fractions 76/524,97/622,686/364 is 1264298

Greatest Common Factor of 524,622,364 By Matching Biggest Common Factor Method

Greatest Common Factor of 524,622,364 By Matching Biggest Common Factor Method

Factors of 524

List of positive integer factors of 524 that divides 524 without a remainder.

1,2,4,131,262,524

Factors of 622

List of positive integer factors of 622 that divides 622 without a remainder.

1,2,311,622

Factors of 364

List of positive integer factors of 364 that divides 364 without a remainder.

1,2,4,7,13,14,26,28,52,91,182,364

Greatest Common Factor

We found the factors 524,622,364 . The biggest common factor number is the GCF number.
So the greatest common factor 524,622,364 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 76/524, 97/622, 686/364

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 76/524, 97/622, 686/364?

Answer: LCM of Numerators as per given numbers 76/524, 97/622, 686/364 is

LCM of Numerators i.e. for 76,97,686 is 2528596

GCF of denominators i.e. for 524,622,364 is 2.

Thus, LCM of Fractions is 1264298.Finally, LCM of Fractions for 76/524, 97/622, 686/364 is 1264298.