Least Common Multiple of 2916/20, 9456/456

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2916/20, 9456/456 quickly i.e. 574452 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2916/20, 9456/456 is 574452.

LCM(2916/20, 9456/456) = 574452

LCM of 2916/20, 9456/456

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 2916/20,9456/456

Given numbers are 2916/20,9456/456

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 2916,9456

Least Common Multiple of Numerators i.e. LCM of 2916,9456 is 2297808.

GCF of Denominators means GCF of 20,456 as per the given fractions.

GCF of 20,456 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2916,9456

LCM of Fractions 2916/20,9456/456 is 574452

2 2916, 9456
2 1458, 4728
3 729, 2364
243, 788

∴ So the LCM of the given numbers is 2 x 2 x 3 x 243 x 788 = 2297808

Least Common Multiple of 2916,9456 with GCF Formula

Least Common Multiple of 2916,9456 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 2916,9456 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2916,9456) = 12

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

GCF(2916,9456) x common factors =12 x 1 = 12

LCM(2916,9456) = ( 2916 × 9456 ) / 12

LCM(2916,9456) = 27573696 / 12

LCM(2916,9456) = 2297808


Lets's calculate GCF of 20,456

2 20, 456
2 10, 228
5, 114

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2297808/4

Therefore the LCM of Fractions 2916/20,9456/456 is 574452

Greatest Common Factor of 20,456 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,456 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 456

List of positive integer factors of 456 that divides 456 without a remainder.

1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456

Greatest Common Factor

We found the factors 20,456 . The biggest common factor number is the GCF number.
So the greatest common factor 20,456 is 4.


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 2916/20, 9456/456

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 2916/20, 9456/456?

Answer: LCM of Numerators as per given numbers 2916/20, 9456/456 is

LCM of Numerators i.e. for 2916,9456 is 2297808

GCF of denominators i.e. for 20,456 is 4.

Thus, LCM of Fractions is 574452.Finally, LCM of Fractions for 2916/20, 9456/456 is 574452.