Least Common Multiple of 252/862, 683/866, 132/539

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 252/862, 683/866, 132/539 quickly i.e. 1893276 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 252/862, 683/866, 132/539 is 1893276.

LCM(252/862, 683/866, 132/539) = 1893276

LCM of 252/862, 683/866, 132/539

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 252/862,683/866,132/539

Given numbers are 252/862,683/866,132/539

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 252,683,132

Least Common Multiple of Numerators i.e. LCM of 252,683,132 is 1893276.

GCF of Denominators means GCF of 862,866,539 as per the given fractions.

GCF of 862,866,539 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 252,683,132

LCM of Fractions 252/862,683/866,132/539 is 1893276

2 252, 683, 132
2 126, 683, 66
3 63, 683, 33
21, 683, 11

∴ So the LCM of the given numbers is 2 x 2 x 3 x 21 x 683 x 11 = 1893276

Least Common Multiple of 252,683,132 with GCF Formula

Least Common Multiple of 252,683,132 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 252,683,132 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(252,683,132) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(252,683,132) x common factors =1 x 12 = 12

LCM(252,683,132) = ( 252 × 683 × 132 ) / 12

LCM(252,683,132) = 22719312 / 12

LCM(252,683,132) = 1893276


Lets's calculate GCF of 862,866,539

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1893276/1

Therefore the LCM of Fractions 252/862,683/866,132/539 is 1893276

Greatest Common Factor of 862,866,539 By Matching Biggest Common Factor Method

Greatest Common Factor of 862,866,539 By Matching Biggest Common Factor Method

Factors of 862

List of positive integer factors of 862 that divides 862 without a remainder.

1,2,431,862

Factors of 866

List of positive integer factors of 866 that divides 866 without a remainder.

1,2,433,866

Factors of 539

List of positive integer factors of 539 that divides 539 without a remainder.

1,7,11,49,77,539

Greatest Common Factor

We found the factors 862,866,539 . The biggest common factor number is the GCF number.
So the greatest common factor 862,866,539 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 252/862, 683/866, 132/539

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 252/862, 683/866, 132/539?

Answer: LCM of Numerators as per given numbers 252/862, 683/866, 132/539 is

LCM of Numerators i.e. for 252,683,132 is 1893276

GCF of denominators i.e. for 862,866,539 is 1.

Thus, LCM of Fractions is 1893276.Finally, LCM of Fractions for 252/862, 683/866, 132/539 is 1893276.