Least Common Multiple of 60/912, 128/531, 132/816

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 60/912, 128/531, 132/816 quickly i.e. 7040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 60/912, 128/531, 132/816 is 7040.

LCM(60/912, 128/531, 132/816) = 7040

LCM of 60/912, 128/531, 132/816

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 60/912,128/531,132/816

Given numbers are 60/912,128/531,132/816

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 60,128,132

Least Common Multiple of Numerators i.e. LCM of 60,128,132 is 21120.

GCF of Denominators means GCF of 912,531,816 as per the given fractions.

GCF of 912,531,816 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 60,128,132

LCM of Fractions 60/912,128/531,132/816 is 7040

2 60, 128, 132
2 30, 64, 66
3 15, 32, 33
5, 32, 11

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 32 x 11 = 21120

Least Common Multiple of 60,128,132 with GCF Formula

Least Common Multiple of 60,128,132 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 60,128,132 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,128,132) = 4

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

GCF(60,128,132) x common factors =4 x 12 = 48

LCM(60,128,132) = ( 60 × 128 × 132 ) / 48

LCM(60,128,132) = 1013760 / 48

LCM(60,128,132) = 21120


Lets's calculate GCF of 912,531,816

3 912, 531, 816
304, 177, 272

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21120/3

Therefore the LCM of Fractions 60/912,128/531,132/816 is 7040

Greatest Common Factor of 912,531,816 By Matching Biggest Common Factor Method

Greatest Common Factor of 912,531,816 By Matching Biggest Common Factor Method

Factors of 912

List of positive integer factors of 912 that divides 912 without a remainder.

1,2,3,4,6,8,12,16,19,24,38,48,57,76,114,152,228,304,456,912

Factors of 531

List of positive integer factors of 531 that divides 531 without a remainder.

1,3,9,59,177,531

Factors of 816

List of positive integer factors of 816 that divides 816 without a remainder.

1,2,3,4,6,8,12,16,17,24,34,48,51,68,102,136,204,272,408,816

Greatest Common Factor

We found the factors 912,531,816 . The biggest common factor number is the GCF number.
So the greatest common factor 912,531,816 is 3.


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 60/912, 128/531, 132/816

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 60/912, 128/531, 132/816?

Answer: LCM of Numerators as per given numbers 60/912, 128/531, 132/816 is

LCM of Numerators i.e. for 60,128,132 is 21120

GCF of denominators i.e. for 912,531,816 is 3.

Thus, LCM of Fractions is 7040.Finally, LCM of Fractions for 60/912, 128/531, 132/816 is 7040.