Least Common Multiple of 48/476, 167/432, 240/956

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 48/476, 167/432, 240/956 quickly i.e. 10020 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 48/476, 167/432, 240/956 is 10020.

LCM(48/476, 167/432, 240/956) = 10020

LCM of 48/476, 167/432, 240/956

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 48/476,167/432,240/956

Given numbers are 48/476,167/432,240/956

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 48,167,240

Least Common Multiple of Numerators i.e. LCM of 48,167,240 is 40080.

GCF of Denominators means GCF of 476,432,956 as per the given fractions.

GCF of 476,432,956 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 48,167,240

LCM of Fractions 48/476,167/432,240/956 is 10020

2 48, 167, 240
2 24, 167, 120
2 12, 167, 60
2 6, 167, 30
3 3, 167, 15
1, 167, 5

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 1 x 167 x 5 = 40080

Least Common Multiple of 48,167,240 with GCF Formula

Least Common Multiple of 48,167,240 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 48,167,240 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,167,240) = 1

common factors(in case of two or more numbers have common factors) = 48

GCF(48,167,240) x common factors =1 x 48 = 48

LCM(48,167,240) = ( 48 × 167 × 240 ) / 48

LCM(48,167,240) = 1923840 / 48

LCM(48,167,240) = 40080


Lets's calculate GCF of 476,432,956

2 476, 432, 956
2 238, 216, 478
119, 108, 239

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40080/4

Therefore the LCM of Fractions 48/476,167/432,240/956 is 10020

Greatest Common Factor of 476,432,956 By Matching Biggest Common Factor Method

Greatest Common Factor of 476,432,956 By Matching Biggest Common Factor Method

Factors of 476

List of positive integer factors of 476 that divides 476 without a remainder.

1,2,4,7,14,17,28,34,68,119,238,476

Factors of 432

List of positive integer factors of 432 that divides 432 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,108,144,216,432

Factors of 956

List of positive integer factors of 956 that divides 956 without a remainder.

1,2,4,239,478,956

Greatest Common Factor

We found the factors 476,432,956 . The biggest common factor number is the GCF number.
So the greatest common factor 476,432,956 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 48/476, 167/432, 240/956

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 48/476, 167/432, 240/956?

Answer: LCM of Numerators as per given numbers 48/476, 167/432, 240/956 is

LCM of Numerators i.e. for 48,167,240 is 40080

GCF of denominators i.e. for 476,432,956 is 4.

Thus, LCM of Fractions is 10020.Finally, LCM of Fractions for 48/476, 167/432, 240/956 is 10020.