Least Common Multiple of 48/156, 547/343, 592/932

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 48/156, 547/343, 592/932 quickly i.e. 971472 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 48/156, 547/343, 592/932 is 971472.

LCM(48/156, 547/343, 592/932) = 971472

LCM of 48/156, 547/343, 592/932

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 48/156,547/343,592/932

Given numbers are 48/156,547/343,592/932

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 48,547,592

Least Common Multiple of Numerators i.e. LCM of 48,547,592 is 971472.

GCF of Denominators means GCF of 156,343,932 as per the given fractions.

GCF of 156,343,932 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 48,547,592

LCM of Fractions 48/156,547/343,592/932 is 971472

2 48, 547, 592
2 24, 547, 296
2 12, 547, 148
2 6, 547, 74
3, 547, 37

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 547 x 37 = 971472

Least Common Multiple of 48,547,592 with GCF Formula

Least Common Multiple of 48,547,592 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 48,547,592 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,547,592) = 1

common factors(in case of two or more numbers have common factors) = 16

GCF(48,547,592) x common factors =1 x 16 = 16

LCM(48,547,592) = ( 48 × 547 × 592 ) / 16

LCM(48,547,592) = 15543552 / 16

LCM(48,547,592) = 971472


Lets's calculate GCF of 156,343,932

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 971472/1

Therefore the LCM of Fractions 48/156,547/343,592/932 is 971472

Greatest Common Factor of 156,343,932 By Matching Biggest Common Factor Method

Greatest Common Factor of 156,343,932 By Matching Biggest Common Factor Method

Factors of 156

List of positive integer factors of 156 that divides 156 without a remainder.

1,2,3,4,6,12,13,26,39,52,78,156

Factors of 343

List of positive integer factors of 343 that divides 343 without a remainder.

1,7,49,343

Factors of 932

List of positive integer factors of 932 that divides 932 without a remainder.

1,2,4,233,466,932

Greatest Common Factor

We found the factors 156,343,932 . The biggest common factor number is the GCF number.
So the greatest common factor 156,343,932 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 48/156, 547/343, 592/932

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 48/156, 547/343, 592/932?

Answer: LCM of Numerators as per given numbers 48/156, 547/343, 592/932 is

LCM of Numerators i.e. for 48,547,592 is 971472

GCF of denominators i.e. for 156,343,932 is 1.

Thus, LCM of Fractions is 971472.Finally, LCM of Fractions for 48/156, 547/343, 592/932 is 971472.