Least Common Multiple of 48/32, 156/29, 922/267

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 48/32, 156/29, 922/267 quickly i.e. 287664 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 48/32, 156/29, 922/267 is 287664.

LCM(48/32, 156/29, 922/267) = 287664

LCM of 48/32, 156/29, 922/267

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 48/32,156/29,922/267

Given numbers are 48/32,156/29,922/267

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 48,156,922

Least Common Multiple of Numerators i.e. LCM of 48,156,922 is 287664.

GCF of Denominators means GCF of 32,29,267 as per the given fractions.

GCF of 32,29,267 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 48,156,922

LCM of Fractions 48/32,156/29,922/267 is 287664

2 48, 156, 922
2 24, 78, 461
3 12, 39, 461
4, 13, 461

∴ So the LCM of the given numbers is 2 x 2 x 3 x 4 x 13 x 461 = 287664

Least Common Multiple of 48,156,922 with GCF Formula

Least Common Multiple of 48,156,922 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 48,156,922 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,156,922) = 2

common factors(in case of two or more numbers have common factors) = 12

GCF(48,156,922) x common factors =2 x 12 = 24

LCM(48,156,922) = ( 48 × 156 × 922 ) / 24

LCM(48,156,922) = 6903936 / 24

LCM(48,156,922) = 287664


Lets's calculate GCF of 32,29,267

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 287664/1

Therefore the LCM of Fractions 48/32,156/29,922/267 is 287664

Greatest Common Factor of 32,29,267 By Matching Biggest Common Factor Method

Greatest Common Factor of 32,29,267 By Matching Biggest Common Factor Method

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 267

List of positive integer factors of 267 that divides 267 without a remainder.

1,3,89,267

Greatest Common Factor

We found the factors 32,29,267 . The biggest common factor number is the GCF number.
So the greatest common factor 32,29,267 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 48/32, 156/29, 922/267

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 48/32, 156/29, 922/267?

Answer: LCM of Numerators as per given numbers 48/32, 156/29, 922/267 is

LCM of Numerators i.e. for 48,156,922 is 287664

GCF of denominators i.e. for 32,29,267 is 1.

Thus, LCM of Fractions is 287664.Finally, LCM of Fractions for 48/32, 156/29, 922/267 is 287664.