Least Common Multiple of 8572/208, 6912/920

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8572/208, 6912/920 quickly i.e. 1851552 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8572/208, 6912/920 is 1851552.

LCM(8572/208, 6912/920) = 1851552

LCM of 8572/208, 6912/920

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 8572/208,6912/920

Given numbers are 8572/208,6912/920

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 8572,6912

Least Common Multiple of Numerators i.e. LCM of 8572,6912 is 14812416.

GCF of Denominators means GCF of 208,920 as per the given fractions.

GCF of 208,920 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8572,6912

LCM of Fractions 8572/208,6912/920 is 1851552

2 8572, 6912
2 4286, 3456
2143, 1728

∴ So the LCM of the given numbers is 2 x 2 x 2143 x 1728 = 14812416

Least Common Multiple of 8572,6912 with GCF Formula

Least Common Multiple of 8572,6912 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 8572,6912 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8572,6912) = 4

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

GCF(8572,6912) x common factors =4 x 1 = 4

LCM(8572,6912) = ( 8572 × 6912 ) / 4

LCM(8572,6912) = 59249664 / 4

LCM(8572,6912) = 14812416


Lets's calculate GCF of 208,920

2 208, 920
2 104, 460
2 52, 230
26, 115

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14812416/8

Therefore the LCM of Fractions 8572/208,6912/920 is 1851552

Greatest Common Factor of 208,920 By Matching Biggest Common Factor Method

Greatest Common Factor of 208,920 By Matching Biggest Common Factor Method

Factors of 208

List of positive integer factors of 208 that divides 208 without a remainder.

1,2,4,8,13,16,26,52,104,208

Factors of 920

List of positive integer factors of 920 that divides 920 without a remainder.

1,2,4,5,8,10,20,23,40,46,92,115,184,230,460,920

Greatest Common Factor

We found the factors 208,920 . The biggest common factor number is the GCF number.
So the greatest common factor 208,920 is 8.


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 8572/208, 6912/920

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 8572/208, 6912/920?

Answer: LCM of Numerators as per given numbers 8572/208, 6912/920 is

LCM of Numerators i.e. for 8572,6912 is 14812416

GCF of denominators i.e. for 208,920 is 8.

Thus, LCM of Fractions is 1851552.Finally, LCM of Fractions for 8572/208, 6912/920 is 1851552.