Least Common Multiple of 21/412, 72/752, 236/619

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/412, 72/752, 236/619 quickly i.e. 29736 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/412, 72/752, 236/619 is 29736.

LCM(21/412, 72/752, 236/619) = 29736

LCM of 21/412, 72/752, 236/619

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 21/412,72/752,236/619

Given numbers are 21/412,72/752,236/619

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 21,72,236

Least Common Multiple of Numerators i.e. LCM of 21,72,236 is 29736.

GCF of Denominators means GCF of 412,752,619 as per the given fractions.

GCF of 412,752,619 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,72,236

LCM of Fractions 21/412,72/752,236/619 is 29736

2 21, 72, 236
2 21, 36, 118
3 21, 18, 59
7, 6, 59

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 6 x 59 = 29736

Least Common Multiple of 21,72,236 with GCF Formula

Least Common Multiple of 21,72,236 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 21,72,236 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,72,236) = 1

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

GCF(21,72,236) x common factors =1 x 12 = 12

LCM(21,72,236) = ( 21 × 72 × 236 ) / 12

LCM(21,72,236) = 356832 / 12

LCM(21,72,236) = 29736


Lets's calculate GCF of 412,752,619

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29736/1

Therefore the LCM of Fractions 21/412,72/752,236/619 is 29736

Greatest Common Factor of 412,752,619 By Matching Biggest Common Factor Method

Greatest Common Factor of 412,752,619 By Matching Biggest Common Factor Method

Factors of 412

List of positive integer factors of 412 that divides 412 without a remainder.

1,2,4,103,206,412

Factors of 752

List of positive integer factors of 752 that divides 752 without a remainder.

1,2,4,8,16,47,94,188,376,752

Factors of 619

List of positive integer factors of 619 that divides 619 without a remainder.

1,619

Greatest Common Factor

We found the factors 412,752,619 . The biggest common factor number is the GCF number.
So the greatest common factor 412,752,619 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 21/412, 72/752, 236/619

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 21/412, 72/752, 236/619?

Answer: LCM of Numerators as per given numbers 21/412, 72/752, 236/619 is

LCM of Numerators i.e. for 21,72,236 is 29736

GCF of denominators i.e. for 412,752,619 is 1.

Thus, LCM of Fractions is 29736.Finally, LCM of Fractions for 21/412, 72/752, 236/619 is 29736.