Least Common Multiple of 48/149, 40/186, 108/828

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 48/149, 40/186, 108/828 quickly i.e. 2160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 48/149, 40/186, 108/828 is 2160.

LCM(48/149, 40/186, 108/828) = 2160

LCM of 48/149, 40/186, 108/828

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 48/149,40/186,108/828

Given numbers are 48/149,40/186,108/828

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 48,40,108

Least Common Multiple of Numerators i.e. LCM of 48,40,108 is 2160.

GCF of Denominators means GCF of 149,186,828 as per the given fractions.

GCF of 149,186,828 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 48,40,108

LCM of Fractions 48/149,40/186,108/828 is 2160

2 48, 40, 108
2 24, 20, 54
2 12, 10, 27
3 6, 5, 27
2, 5, 9

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 2 x 5 x 9 = 2160

Least Common Multiple of 48,40,108 with GCF Formula

Least Common Multiple of 48,40,108 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 48,40,108 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,40,108) = 4

common factors(in case of two or more numbers have common factors) = 24

GCF(48,40,108) x common factors =4 x 24 = 96

LCM(48,40,108) = ( 48 × 40 × 108 ) / 96

LCM(48,40,108) = 207360 / 96

LCM(48,40,108) = 2160


Lets's calculate GCF of 149,186,828

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2160/1

Therefore the LCM of Fractions 48/149,40/186,108/828 is 2160

Greatest Common Factor of 149,186,828 By Matching Biggest Common Factor Method

Greatest Common Factor of 149,186,828 By Matching Biggest Common Factor Method

Factors of 149

List of positive integer factors of 149 that divides 149 without a remainder.

1,149

Factors of 186

List of positive integer factors of 186 that divides 186 without a remainder.

1,2,3,6,31,62,93,186

Factors of 828

List of positive integer factors of 828 that divides 828 without a remainder.

1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828

Greatest Common Factor

We found the factors 149,186,828 . The biggest common factor number is the GCF number.
So the greatest common factor 149,186,828 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 48/149, 40/186, 108/828

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 48/149, 40/186, 108/828?

Answer: LCM of Numerators as per given numbers 48/149, 40/186, 108/828 is

LCM of Numerators i.e. for 48,40,108 is 2160

GCF of denominators i.e. for 149,186,828 is 1.

Thus, LCM of Fractions is 2160.Finally, LCM of Fractions for 48/149, 40/186, 108/828 is 2160.