Least Common Multiple of 30/36, 937/96, 779/827

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 30/36, 937/96, 779/827 quickly i.e. 21897690 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 30/36, 937/96, 779/827 is 21897690.

LCM(30/36, 937/96, 779/827) = 21897690

LCM of 30/36, 937/96, 779/827

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 30/36,937/96,779/827

Given numbers are 30/36,937/96,779/827

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 30,937,779

Least Common Multiple of Numerators i.e. LCM of 30,937,779 is 21897690.

GCF of Denominators means GCF of 36,96,827 as per the given fractions.

GCF of 36,96,827 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 30,937,779

LCM of Fractions 30/36,937/96,779/827 is 21897690

Given numbers has no common factors except 1. So, there LCM is their product i.e 21897690

Least Common Multiple of 30,937,779 with GCF Formula

Least Common Multiple of 30,937,779 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 30,937,779 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,937,779) = 1

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

GCF(30,937,779) x common factors =1 x 1 = 1

LCM(30,937,779) = ( 30 × 937 × 779 ) / 1

LCM(30,937,779) = 21897690 / 1

LCM(30,937,779) = 21897690


Lets's calculate GCF of 36,96,827

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21897690/1

Therefore the LCM of Fractions 30/36,937/96,779/827 is 21897690

Greatest Common Factor of 36,96,827 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,96,827 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 827

List of positive integer factors of 827 that divides 827 without a remainder.

1,827

Greatest Common Factor

We found the factors 36,96,827 . The biggest common factor number is the GCF number.
So the greatest common factor 36,96,827 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 30/36, 937/96, 779/827

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 30/36, 937/96, 779/827?

Answer: LCM of Numerators as per given numbers 30/36, 937/96, 779/827 is

LCM of Numerators i.e. for 30,937,779 is 21897690

GCF of denominators i.e. for 36,96,827 is 1.

Thus, LCM of Fractions is 21897690.Finally, LCM of Fractions for 30/36, 937/96, 779/827 is 21897690.