Least Common Multiple of 45/156, 612/532, 936/276

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/156, 612/532, 936/276 quickly i.e. 19890 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/156, 612/532, 936/276 is 19890.

LCM(45/156, 612/532, 936/276) = 19890

LCM of 45/156, 612/532, 936/276

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 45/156,612/532,936/276

Given numbers are 45/156,612/532,936/276

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 45,612,936

Least Common Multiple of Numerators i.e. LCM of 45,612,936 is 79560.

GCF of Denominators means GCF of 156,532,276 as per the given fractions.

GCF of 156,532,276 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,612,936

LCM of Fractions 45/156,612/532,936/276 is 19890

2 45, 612, 936
2 45, 306, 468
3 45, 153, 234
3 15, 51, 78
5, 17, 26

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 5 x 17 x 26 = 79560

Least Common Multiple of 45,612,936 with GCF Formula

Least Common Multiple of 45,612,936 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 45,612,936 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,612,936) = 9

common factors(in case of two or more numbers have common factors) = 36

GCF(45,612,936) x common factors =9 x 36 = 324

LCM(45,612,936) = ( 45 × 612 × 936 ) / 324

LCM(45,612,936) = 25777440 / 324

LCM(45,612,936) = 79560


Lets's calculate GCF of 156,532,276

2 156, 532, 276
2 78, 266, 138
39, 133, 69

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 79560/4

Therefore the LCM of Fractions 45/156,612/532,936/276 is 19890

Greatest Common Factor of 156,532,276 By Matching Biggest Common Factor Method

Greatest Common Factor of 156,532,276 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 532

List of positive integer factors of 532 that divides 532 without a remainder.

1,2,4,7,14,19,28,38,76,133,266,532

Factors of 276

List of positive integer factors of 276 that divides 276 without a remainder.

1,2,3,4,6,12,23,46,69,92,138,276

Greatest Common Factor

We found the factors 156,532,276 . The biggest common factor number is the GCF number.
So the greatest common factor 156,532,276 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 45/156, 612/532, 936/276

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 45/156, 612/532, 936/276?

Answer: LCM of Numerators as per given numbers 45/156, 612/532, 936/276 is

LCM of Numerators i.e. for 45,612,936 is 79560

GCF of denominators i.e. for 156,532,276 is 4.

Thus, LCM of Fractions is 19890.Finally, LCM of Fractions for 45/156, 612/532, 936/276 is 19890.