Least Common Multiple of 977/637, 752/462, 126/204

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 977/637, 752/462, 126/204 quickly i.e. 46286352 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 977/637, 752/462, 126/204 is 46286352.

LCM(977/637, 752/462, 126/204) = 46286352

LCM of 977/637, 752/462, 126/204

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 977/637,752/462,126/204

Given numbers are 977/637,752/462,126/204

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 977,752,126

Least Common Multiple of Numerators i.e. LCM of 977,752,126 is 46286352.

GCF of Denominators means GCF of 637,462,204 as per the given fractions.

GCF of 637,462,204 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 977,752,126

LCM of Fractions 977/637,752/462,126/204 is 46286352

2 977, 752, 126
977, 376, 63

∴ So the LCM of the given numbers is 2 x 977 x 376 x 63 = 46286352

Least Common Multiple of 977,752,126 with GCF Formula

Least Common Multiple of 977,752,126 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 977,752,126 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(977,752,126) = 1

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

GCF(977,752,126) x common factors =1 x 2 = 2

LCM(977,752,126) = ( 977 × 752 × 126 ) / 2

LCM(977,752,126) = 92572704 / 2

LCM(977,752,126) = 46286352


Lets's calculate GCF of 637,462,204

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 46286352/1

Therefore the LCM of Fractions 977/637,752/462,126/204 is 46286352

Greatest Common Factor of 637,462,204 By Matching Biggest Common Factor Method

Greatest Common Factor of 637,462,204 By Matching Biggest Common Factor Method

Factors of 637

List of positive integer factors of 637 that divides 637 without a remainder.

1,7,13,49,91,637

Factors of 462

List of positive integer factors of 462 that divides 462 without a remainder.

1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462

Factors of 204

List of positive integer factors of 204 that divides 204 without a remainder.

1,2,3,4,6,12,17,34,51,68,102,204

Greatest Common Factor

We found the factors 637,462,204 . The biggest common factor number is the GCF number.
So the greatest common factor 637,462,204 is 1.


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 977/637, 752/462, 126/204

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 977/637, 752/462, 126/204?

Answer: LCM of Numerators as per given numbers 977/637, 752/462, 126/204 is

LCM of Numerators i.e. for 977,752,126 is 46286352

GCF of denominators i.e. for 637,462,204 is 1.

Thus, LCM of Fractions is 46286352.Finally, LCM of Fractions for 977/637, 752/462, 126/204 is 46286352.