Least Common Multiple of 732/21, 103/45, 779/219

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 732/21, 103/45, 779/219 quickly i.e. 19577828 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 732/21, 103/45, 779/219 is 19577828.

LCM(732/21, 103/45, 779/219) = 19577828

LCM of 732/21, 103/45, 779/219

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 732/21,103/45,779/219

Given numbers are 732/21,103/45,779/219

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 732,103,779

Least Common Multiple of Numerators i.e. LCM of 732,103,779 is 58733484.

GCF of Denominators means GCF of 21,45,219 as per the given fractions.

GCF of 21,45,219 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 732,103,779

LCM of Fractions 732/21,103/45,779/219 is 19577828

Given numbers has no common factors except 1. So, there LCM is their product i.e 58733484

Least Common Multiple of 732,103,779 with GCF Formula

Least Common Multiple of 732,103,779 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 732,103,779 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(732,103,779) = 1

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

GCF(732,103,779) x common factors =1 x 1 = 1

LCM(732,103,779) = ( 732 × 103 × 779 ) / 1

LCM(732,103,779) = 58733484 / 1

LCM(732,103,779) = 58733484


Lets's calculate GCF of 21,45,219

3 21, 45, 219
7, 15, 73

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 58733484/3

Therefore the LCM of Fractions 732/21,103/45,779/219 is 19577828

Greatest Common Factor of 21,45,219 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,45,219 By Matching Biggest Common Factor Method

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 219

List of positive integer factors of 219 that divides 219 without a remainder.

1,3,73,219

Greatest Common Factor

We found the factors 21,45,219 . The biggest common factor number is the GCF number.
So the greatest common factor 21,45,219 is 3.


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 732/21, 103/45, 779/219

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 732/21, 103/45, 779/219?

Answer: LCM of Numerators as per given numbers 732/21, 103/45, 779/219 is

LCM of Numerators i.e. for 732,103,779 is 58733484

GCF of denominators i.e. for 21,45,219 is 3.

Thus, LCM of Fractions is 19577828.Finally, LCM of Fractions for 732/21, 103/45, 779/219 is 19577828.