Least Common Multiple of 21/630, 13/653, 151/542

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/630, 13/653, 151/542 quickly i.e. 41223 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/630, 13/653, 151/542 is 41223.

LCM(21/630, 13/653, 151/542) = 41223

LCM of 21/630, 13/653, 151/542

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 21/630,13/653,151/542

Given numbers are 21/630,13/653,151/542

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 21,13,151

Least Common Multiple of Numerators i.e. LCM of 21,13,151 is 41223.

GCF of Denominators means GCF of 630,653,542 as per the given fractions.

GCF of 630,653,542 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,13,151

LCM of Fractions 21/630,13/653,151/542 is 41223

Given numbers has no common factors except 1. So, there LCM is their product i.e 41223

Least Common Multiple of 21,13,151 with GCF Formula

Least Common Multiple of 21,13,151 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 21,13,151 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,13,151) = 1

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

GCF(21,13,151) x common factors =1 x 1 = 1

LCM(21,13,151) = ( 21 × 13 × 151 ) / 1

LCM(21,13,151) = 41223 / 1

LCM(21,13,151) = 41223


Lets's calculate GCF of 630,653,542

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41223/1

Therefore the LCM of Fractions 21/630,13/653,151/542 is 41223

Greatest Common Factor of 630,653,542 By Matching Biggest Common Factor Method

Greatest Common Factor of 630,653,542 By Matching Biggest Common Factor Method

Factors of 630

List of positive integer factors of 630 that divides 630 without a remainder.

1,2,3,5,6,7,9,10,14,15,18,21,30,35,42,45,63,70,90,105,126,210,315,630

Factors of 653

List of positive integer factors of 653 that divides 653 without a remainder.

1,653

Factors of 542

List of positive integer factors of 542 that divides 542 without a remainder.

1,2,271,542

Greatest Common Factor

We found the factors 630,653,542 . The biggest common factor number is the GCF number.
So the greatest common factor 630,653,542 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 21/630, 13/653, 151/542

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 21/630, 13/653, 151/542?

Answer: LCM of Numerators as per given numbers 21/630, 13/653, 151/542 is

LCM of Numerators i.e. for 21,13,151 is 41223

GCF of denominators i.e. for 630,653,542 is 1.

Thus, LCM of Fractions is 41223.Finally, LCM of Fractions for 21/630, 13/653, 151/542 is 41223.