Least Common Multiple of 97/762, 56/782, 654/908

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 97/762, 56/782, 654/908 quickly i.e. 888132 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 97/762, 56/782, 654/908 is 888132.

LCM(97/762, 56/782, 654/908) = 888132

LCM of 97/762, 56/782, 654/908

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 97/762,56/782,654/908

Given numbers are 97/762,56/782,654/908

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 97,56,654

Least Common Multiple of Numerators i.e. LCM of 97,56,654 is 1776264.

GCF of Denominators means GCF of 762,782,908 as per the given fractions.

GCF of 762,782,908 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 97,56,654

LCM of Fractions 97/762,56/782,654/908 is 888132

2 97, 56, 654
97, 28, 327

∴ So the LCM of the given numbers is 2 x 97 x 28 x 327 = 1776264

Least Common Multiple of 97,56,654 with GCF Formula

Least Common Multiple of 97,56,654 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 97,56,654 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,56,654) = 1

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

GCF(97,56,654) x common factors =1 x 2 = 2

LCM(97,56,654) = ( 97 × 56 × 654 ) / 2

LCM(97,56,654) = 3552528 / 2

LCM(97,56,654) = 1776264


Lets's calculate GCF of 762,782,908

2 762, 782, 908
381, 391, 454

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1776264/2

Therefore the LCM of Fractions 97/762,56/782,654/908 is 888132

Greatest Common Factor of 762,782,908 By Matching Biggest Common Factor Method

Greatest Common Factor of 762,782,908 By Matching Biggest Common Factor Method

Factors of 762

List of positive integer factors of 762 that divides 762 without a remainder.

1,2,3,6,127,254,381,762

Factors of 782

List of positive integer factors of 782 that divides 782 without a remainder.

1,2,17,23,34,46,391,782

Factors of 908

List of positive integer factors of 908 that divides 908 without a remainder.

1,2,4,227,454,908

Greatest Common Factor

We found the factors 762,782,908 . The biggest common factor number is the GCF number.
So the greatest common factor 762,782,908 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 97/762, 56/782, 654/908

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 97/762, 56/782, 654/908?

Answer: LCM of Numerators as per given numbers 97/762, 56/782, 654/908 is

LCM of Numerators i.e. for 97,56,654 is 1776264

GCF of denominators i.e. for 762,782,908 is 2.

Thus, LCM of Fractions is 888132.Finally, LCM of Fractions for 97/762, 56/782, 654/908 is 888132.