Least Common Multiple of 264/40, 972/9038

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 264/40, 972/9038 quickly i.e. 10692 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 264/40, 972/9038 is 10692.

LCM(264/40, 972/9038) = 10692

LCM of 264/40, 972/9038

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 264/40,972/9038

Given numbers are 264/40,972/9038

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 264,972

Least Common Multiple of Numerators i.e. LCM of 264,972 is 21384.

GCF of Denominators means GCF of 40,9038 as per the given fractions.

GCF of 40,9038 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 264,972

LCM of Fractions 264/40,972/9038 is 10692

2 264, 972
2 132, 486
3 66, 243
22, 81

∴ So the LCM of the given numbers is 2 x 2 x 3 x 22 x 81 = 21384

Least Common Multiple of 264,972 with GCF Formula

Least Common Multiple of 264,972 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 264,972 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(264,972) = 12

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

GCF(264,972) x common factors =12 x 1 = 12

LCM(264,972) = ( 264 × 972 ) / 12

LCM(264,972) = 256608 / 12

LCM(264,972) = 21384


Lets's calculate GCF of 40,9038

2 40, 9038
20, 4519

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21384/2

Therefore the LCM of Fractions 264/40,972/9038 is 10692

Greatest Common Factor of 40,9038 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,9038 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 9038

List of positive integer factors of 9038 that divides 9038 without a remainder.

1,2,4519,9038

Greatest Common Factor

We found the factors 40,9038 . The biggest common factor number is the GCF number.
So the greatest common factor 40,9038 is 2.


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 264/40, 972/9038

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 264/40, 972/9038?

Answer: LCM of Numerators as per given numbers 264/40, 972/9038 is

LCM of Numerators i.e. for 264,972 is 21384

GCF of denominators i.e. for 40,9038 is 2.

Thus, LCM of Fractions is 10692.Finally, LCM of Fractions for 264/40, 972/9038 is 10692.