Least Common Multiple of 210/272, 5385/8722

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 210/272, 5385/8722 quickly i.e. 37695 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 210/272, 5385/8722 is 37695.

LCM(210/272, 5385/8722) = 37695

LCM of 210/272, 5385/8722

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 210/272,5385/8722

Given numbers are 210/272,5385/8722

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 210,5385

Least Common Multiple of Numerators i.e. LCM of 210,5385 is 75390.

GCF of Denominators means GCF of 272,8722 as per the given fractions.

GCF of 272,8722 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 210,5385

LCM of Fractions 210/272,5385/8722 is 37695

3 210, 5385
5 70, 1795
14, 359

∴ So the LCM of the given numbers is 3 x 5 x 14 x 359 = 75390

Least Common Multiple of 210,5385 with GCF Formula

Least Common Multiple of 210,5385 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 210,5385 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(210,5385) = 15

common factors(in case of two or more numbers have common factors) = 1

GCF(210,5385) x common factors =15 x 1 = 15

LCM(210,5385) = ( 210 × 5385 ) / 15

LCM(210,5385) = 1130850 / 15

LCM(210,5385) = 75390


Lets's calculate GCF of 272,8722

2 272, 8722
136, 4361

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 75390/2

Therefore the LCM of Fractions 210/272,5385/8722 is 37695

Greatest Common Factor of 272,8722 By Matching Biggest Common Factor Method

Greatest Common Factor of 272,8722 By Matching Biggest Common Factor Method

Factors of 272

List of positive integer factors of 272 that divides 272 without a remainder.

1,2,4,8,16,17,34,68,136,272

Factors of 8722

List of positive integer factors of 8722 that divides 8722 without a remainder.

1,2,7,14,49,89,98,178,623,1246,4361,8722

Greatest Common Factor

We found the factors 272,8722 . The biggest common factor number is the GCF number.
So the greatest common factor 272,8722 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 210/272, 5385/8722

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 210/272, 5385/8722?

Answer: LCM of Numerators as per given numbers 210/272, 5385/8722 is

LCM of Numerators i.e. for 210,5385 is 75390

GCF of denominators i.e. for 272,8722 is 2.

Thus, LCM of Fractions is 37695.Finally, LCM of Fractions for 210/272, 5385/8722 is 37695.