Least Common Multiple of 95/794, 21/234, 828/672

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 95/794, 21/234, 828/672 quickly i.e. 275310 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 95/794, 21/234, 828/672 is 275310.

LCM(95/794, 21/234, 828/672) = 275310

LCM of 95/794, 21/234, 828/672

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 95/794,21/234,828/672

Given numbers are 95/794,21/234,828/672

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 95,21,828

Least Common Multiple of Numerators i.e. LCM of 95,21,828 is 550620.

GCF of Denominators means GCF of 794,234,672 as per the given fractions.

GCF of 794,234,672 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 95,21,828

LCM of Fractions 95/794,21/234,828/672 is 275310

3 95, 21, 828
95, 7, 276

∴ So the LCM of the given numbers is 3 x 95 x 7 x 276 = 550620

Least Common Multiple of 95,21,828 with GCF Formula

Least Common Multiple of 95,21,828 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 95,21,828 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(95,21,828) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(95,21,828) x common factors =1 x 3 = 3

LCM(95,21,828) = ( 95 × 21 × 828 ) / 3

LCM(95,21,828) = 1651860 / 3

LCM(95,21,828) = 550620


Lets's calculate GCF of 794,234,672

2 794, 234, 672
397, 117, 336

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 550620/2

Therefore the LCM of Fractions 95/794,21/234,828/672 is 275310

Greatest Common Factor of 794,234,672 By Matching Biggest Common Factor Method

Greatest Common Factor of 794,234,672 By Matching Biggest Common Factor Method

Factors of 794

List of positive integer factors of 794 that divides 794 without a remainder.

1,2,397,794

Factors of 234

List of positive integer factors of 234 that divides 234 without a remainder.

1,2,3,6,9,13,18,26,39,78,117,234

Factors of 672

List of positive integer factors of 672 that divides 672 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,84,96,112,168,224,336,672

Greatest Common Factor

We found the factors 794,234,672 . The biggest common factor number is the GCF number.
So the greatest common factor 794,234,672 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 95/794, 21/234, 828/672

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 95/794, 21/234, 828/672?

Answer: LCM of Numerators as per given numbers 95/794, 21/234, 828/672 is

LCM of Numerators i.e. for 95,21,828 is 550620

GCF of denominators i.e. for 794,234,672 is 2.

Thus, LCM of Fractions is 275310.Finally, LCM of Fractions for 95/794, 21/234, 828/672 is 275310.