Least Common Multiple of 521/575, 332/161, 552/868

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 521/575, 332/161, 552/868 quickly i.e. 23870136 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 521/575, 332/161, 552/868 is 23870136.

LCM(521/575, 332/161, 552/868) = 23870136

LCM of 521/575, 332/161, 552/868

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 521/575,332/161,552/868

Given numbers are 521/575,332/161,552/868

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 521,332,552

Least Common Multiple of Numerators i.e. LCM of 521,332,552 is 23870136.

GCF of Denominators means GCF of 575,161,868 as per the given fractions.

GCF of 575,161,868 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 521,332,552

LCM of Fractions 521/575,332/161,552/868 is 23870136

2 521, 332, 552
2 521, 166, 276
521, 83, 138

∴ So the LCM of the given numbers is 2 x 2 x 521 x 83 x 138 = 23870136

Least Common Multiple of 521,332,552 with GCF Formula

Least Common Multiple of 521,332,552 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 521,332,552 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(521,332,552) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(521,332,552) x common factors =1 x 4 = 4

LCM(521,332,552) = ( 521 × 332 × 552 ) / 4

LCM(521,332,552) = 95480544 / 4

LCM(521,332,552) = 23870136


Lets's calculate GCF of 575,161,868

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23870136/1

Therefore the LCM of Fractions 521/575,332/161,552/868 is 23870136

Greatest Common Factor of 575,161,868 By Matching Biggest Common Factor Method

Greatest Common Factor of 575,161,868 By Matching Biggest Common Factor Method

Factors of 575

List of positive integer factors of 575 that divides 575 without a remainder.

1,5,23,25,115,575

Factors of 161

List of positive integer factors of 161 that divides 161 without a remainder.

1,7,23,161

Factors of 868

List of positive integer factors of 868 that divides 868 without a remainder.

1,2,4,7,14,28,31,62,124,217,434,868

Greatest Common Factor

We found the factors 575,161,868 . The biggest common factor number is the GCF number.
So the greatest common factor 575,161,868 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 521/575, 332/161, 552/868

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 521/575, 332/161, 552/868?

Answer: LCM of Numerators as per given numbers 521/575, 332/161, 552/868 is

LCM of Numerators i.e. for 521,332,552 is 23870136

GCF of denominators i.e. for 575,161,868 is 1.

Thus, LCM of Fractions is 23870136.Finally, LCM of Fractions for 521/575, 332/161, 552/868 is 23870136.