Least Common Multiple of 264/347, 192/896, 572/557

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 264/347, 192/896, 572/557 quickly i.e. 27456 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 264/347, 192/896, 572/557 is 27456.

LCM(264/347, 192/896, 572/557) = 27456

LCM of 264/347, 192/896, 572/557

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 264/347,192/896,572/557

Given numbers are 264/347,192/896,572/557

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 264,192,572

Least Common Multiple of Numerators i.e. LCM of 264,192,572 is 27456.

GCF of Denominators means GCF of 347,896,557 as per the given fractions.

GCF of 347,896,557 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 264,192,572

LCM of Fractions 264/347,192/896,572/557 is 27456

2 264, 192, 572
2 132, 96, 286
2 66, 48, 143
3 33, 24, 143
11 11, 8, 143
1, 8, 13

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 11 x 1 x 8 x 13 = 27456

Least Common Multiple of 264,192,572 with GCF Formula

Least Common Multiple of 264,192,572 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 264,192,572 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(264,192,572) = 4

common factors(in case of two or more numbers have common factors) = 264

GCF(264,192,572) x common factors =4 x 264 = 1056

LCM(264,192,572) = ( 264 × 192 × 572 ) / 1056

LCM(264,192,572) = 28993536 / 1056

LCM(264,192,572) = 27456


Lets's calculate GCF of 347,896,557

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27456/1

Therefore the LCM of Fractions 264/347,192/896,572/557 is 27456

Greatest Common Factor of 347,896,557 By Matching Biggest Common Factor Method

Greatest Common Factor of 347,896,557 By Matching Biggest Common Factor Method

Factors of 347

List of positive integer factors of 347 that divides 347 without a remainder.

1,347

Factors of 896

List of positive integer factors of 896 that divides 896 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,128,224,448,896

Factors of 557

List of positive integer factors of 557 that divides 557 without a remainder.

1,557

Greatest Common Factor

We found the factors 347,896,557 . The biggest common factor number is the GCF number.
So the greatest common factor 347,896,557 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 264/347, 192/896, 572/557

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 264/347, 192/896, 572/557?

Answer: LCM of Numerators as per given numbers 264/347, 192/896, 572/557 is

LCM of Numerators i.e. for 264,192,572 is 27456

GCF of denominators i.e. for 347,896,557 is 1.

Thus, LCM of Fractions is 27456.Finally, LCM of Fractions for 264/347, 192/896, 572/557 is 27456.