Least Common Multiple of 537/100, 328/960, 940/144

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 537/100, 328/960, 940/144 quickly i.e. 10347990 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 537/100, 328/960, 940/144 is 10347990.

LCM(537/100, 328/960, 940/144) = 10347990

LCM of 537/100, 328/960, 940/144

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 537/100,328/960,940/144

Given numbers are 537/100,328/960,940/144

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 537,328,940

Least Common Multiple of Numerators i.e. LCM of 537,328,940 is 41391960.

GCF of Denominators means GCF of 100,960,144 as per the given fractions.

GCF of 100,960,144 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 537,328,940

LCM of Fractions 537/100,328/960,940/144 is 10347990

2 537, 328, 940
2 537, 164, 470
537, 82, 235

∴ So the LCM of the given numbers is 2 x 2 x 537 x 82 x 235 = 41391960

Least Common Multiple of 537,328,940 with GCF Formula

Least Common Multiple of 537,328,940 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 537,328,940 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(537,328,940) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(537,328,940) x common factors =1 x 4 = 4

LCM(537,328,940) = ( 537 × 328 × 940 ) / 4

LCM(537,328,940) = 165567840 / 4

LCM(537,328,940) = 41391960


Lets's calculate GCF of 100,960,144

2 100, 960, 144
2 50, 480, 72
25, 240, 36

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41391960/4

Therefore the LCM of Fractions 537/100,328/960,940/144 is 10347990

Greatest Common Factor of 100,960,144 By Matching Biggest Common Factor Method

Greatest Common Factor of 100,960,144 By Matching Biggest Common Factor Method

Factors of 100

List of positive integer factors of 100 that divides 100 without a remainder.

1,2,4,5,10,20,25,50,100

Factors of 960

List of positive integer factors of 960 that divides 960 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960

Factors of 144

List of positive integer factors of 144 that divides 144 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,72,144

Greatest Common Factor

We found the factors 100,960,144 . The biggest common factor number is the GCF number.
So the greatest common factor 100,960,144 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 537/100, 328/960, 940/144

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 537/100, 328/960, 940/144?

Answer: LCM of Numerators as per given numbers 537/100, 328/960, 940/144 is

LCM of Numerators i.e. for 537,328,940 is 41391960

GCF of denominators i.e. for 100,960,144 is 4.

Thus, LCM of Fractions is 10347990.Finally, LCM of Fractions for 537/100, 328/960, 940/144 is 10347990.