Least Common Multiple of 357/263, 672/914, 644/255

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 357/263, 672/914, 644/255 quickly i.e. 262752 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 357/263, 672/914, 644/255 is 262752.

LCM(357/263, 672/914, 644/255) = 262752

LCM of 357/263, 672/914, 644/255

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 357/263,672/914,644/255

Given numbers are 357/263,672/914,644/255

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 357,672,644

Least Common Multiple of Numerators i.e. LCM of 357,672,644 is 262752.

GCF of Denominators means GCF of 263,914,255 as per the given fractions.

GCF of 263,914,255 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 357,672,644

LCM of Fractions 357/263,672/914,644/255 is 262752

2 357, 672, 644
2 357, 336, 322
3 357, 168, 161
7 119, 56, 161
17, 8, 23

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 17 x 8 x 23 = 262752

Least Common Multiple of 357,672,644 with GCF Formula

Least Common Multiple of 357,672,644 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 357,672,644 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(357,672,644) = 7

common factors(in case of two or more numbers have common factors) = 84

GCF(357,672,644) x common factors =7 x 84 = 588

LCM(357,672,644) = ( 357 × 672 × 644 ) / 588

LCM(357,672,644) = 154498176 / 588

LCM(357,672,644) = 262752


Lets's calculate GCF of 263,914,255

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 262752/1

Therefore the LCM of Fractions 357/263,672/914,644/255 is 262752

Greatest Common Factor of 263,914,255 By Matching Biggest Common Factor Method

Greatest Common Factor of 263,914,255 By Matching Biggest Common Factor Method

Factors of 263

List of positive integer factors of 263 that divides 263 without a remainder.

1,263

Factors of 914

List of positive integer factors of 914 that divides 914 without a remainder.

1,2,457,914

Factors of 255

List of positive integer factors of 255 that divides 255 without a remainder.

1,3,5,15,17,51,85,255

Greatest Common Factor

We found the factors 263,914,255 . The biggest common factor number is the GCF number.
So the greatest common factor 263,914,255 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 357/263, 672/914, 644/255

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 357/263, 672/914, 644/255?

Answer: LCM of Numerators as per given numbers 357/263, 672/914, 644/255 is

LCM of Numerators i.e. for 357,672,644 is 262752

GCF of denominators i.e. for 263,914,255 is 1.

Thus, LCM of Fractions is 262752.Finally, LCM of Fractions for 357/263, 672/914, 644/255 is 262752.