Least Common Multiple of 21/532, 672/285, 480/771

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/532, 672/285, 480/771 quickly i.e. 3360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/532, 672/285, 480/771 is 3360.

LCM(21/532, 672/285, 480/771) = 3360

LCM of 21/532, 672/285, 480/771

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 21/532,672/285,480/771

Given numbers are 21/532,672/285,480/771

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 21,672,480

Least Common Multiple of Numerators i.e. LCM of 21,672,480 is 3360.

GCF of Denominators means GCF of 532,285,771 as per the given fractions.

GCF of 532,285,771 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,672,480

LCM of Fractions 21/532,672/285,480/771 is 3360

2 21, 672, 480
2 21, 336, 240
2 21, 168, 120
2 21, 84, 60
2 21, 42, 30
3 21, 21, 15
7 7, 7, 5
1, 1, 5

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 3 x 7 x 1 x 1 x 5 = 3360

Least Common Multiple of 21,672,480 with GCF Formula

Least Common Multiple of 21,672,480 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 21,672,480 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,672,480) = 3

common factors(in case of two or more numbers have common factors) = 672

GCF(21,672,480) x common factors =3 x 672 = 2016

LCM(21,672,480) = ( 21 × 672 × 480 ) / 2016

LCM(21,672,480) = 6773760 / 2016

LCM(21,672,480) = 3360


Lets's calculate GCF of 532,285,771

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3360/1

Therefore the LCM of Fractions 21/532,672/285,480/771 is 3360

Greatest Common Factor of 532,285,771 By Matching Biggest Common Factor Method

Greatest Common Factor of 532,285,771 By Matching Biggest Common Factor Method

Factors of 532

List of positive integer factors of 532 that divides 532 without a remainder.

1,2,4,7,14,19,28,38,76,133,266,532

Factors of 285

List of positive integer factors of 285 that divides 285 without a remainder.

1,3,5,15,19,57,95,285

Factors of 771

List of positive integer factors of 771 that divides 771 without a remainder.

1,3,257,771

Greatest Common Factor

We found the factors 532,285,771 . The biggest common factor number is the GCF number.
So the greatest common factor 532,285,771 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 21/532, 672/285, 480/771

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 21/532, 672/285, 480/771?

Answer: LCM of Numerators as per given numbers 21/532, 672/285, 480/771 is

LCM of Numerators i.e. for 21,672,480 is 3360

GCF of denominators i.e. for 532,285,771 is 1.

Thus, LCM of Fractions is 3360.Finally, LCM of Fractions for 21/532, 672/285, 480/771 is 3360.