Least Common Multiple of 20/40, 15/64, 967/76

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 20/40, 15/64, 967/76 quickly i.e. 14505 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/40, 15/64, 967/76 is 14505.

LCM(20/40, 15/64, 967/76) = 14505

LCM of 20/40, 15/64, 967/76

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 20/40,15/64,967/76

Given numbers are 20/40,15/64,967/76

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 20,15,967

Least Common Multiple of Numerators i.e. LCM of 20,15,967 is 58020.

GCF of Denominators means GCF of 40,64,76 as per the given fractions.

GCF of 40,64,76 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,15,967

LCM of Fractions 20/40,15/64,967/76 is 14505

5 20, 15, 967
4, 3, 967

∴ So the LCM of the given numbers is 5 x 4 x 3 x 967 = 58020

Least Common Multiple of 20,15,967 with GCF Formula

Least Common Multiple of 20,15,967 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 20,15,967 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,15,967) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(20,15,967) x common factors =1 x 5 = 5

LCM(20,15,967) = ( 20 × 15 × 967 ) / 5

LCM(20,15,967) = 290100 / 5

LCM(20,15,967) = 58020


Lets's calculate GCF of 40,64,76

2 40, 64, 76
2 20, 32, 38
10, 16, 19

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 58020/4

Therefore the LCM of Fractions 20/40,15/64,967/76 is 14505

Greatest Common Factor of 40,64,76 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,64,76 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 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Greatest Common Factor

We found the factors 40,64,76 . The biggest common factor number is the GCF number.
So the greatest common factor 40,64,76 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 20/40, 15/64, 967/76

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 20/40, 15/64, 967/76?

Answer: LCM of Numerators as per given numbers 20/40, 15/64, 967/76 is

LCM of Numerators i.e. for 20,15,967 is 58020

GCF of denominators i.e. for 40,64,76 is 4.

Thus, LCM of Fractions is 14505.Finally, LCM of Fractions for 20/40, 15/64, 967/76 is 14505.