Least Common Multiple of 60/28, 855/62, 540/908

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 60/28, 855/62, 540/908 quickly i.e. 5130 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 60/28, 855/62, 540/908 is 5130.

LCM(60/28, 855/62, 540/908) = 5130

LCM of 60/28, 855/62, 540/908

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 60/28,855/62,540/908

Given numbers are 60/28,855/62,540/908

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 60,855,540

Least Common Multiple of Numerators i.e. LCM of 60,855,540 is 10260.

GCF of Denominators means GCF of 28,62,908 as per the given fractions.

GCF of 28,62,908 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 60,855,540

LCM of Fractions 60/28,855/62,540/908 is 5130

2 60, 855, 540
2 30, 855, 270
3 15, 855, 135
3 5, 285, 45
5 5, 95, 15
1, 19, 3

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 5 x 1 x 19 x 3 = 10260

Least Common Multiple of 60,855,540 with GCF Formula

Least Common Multiple of 60,855,540 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 60,855,540 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,855,540) = 15

common factors(in case of two or more numbers have common factors) = 180

GCF(60,855,540) x common factors =15 x 180 = 2700

LCM(60,855,540) = ( 60 × 855 × 540 ) / 2700

LCM(60,855,540) = 27702000 / 2700

LCM(60,855,540) = 10260


Lets's calculate GCF of 28,62,908

2 28, 62, 908
14, 31, 454

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10260/2

Therefore the LCM of Fractions 60/28,855/62,540/908 is 5130

Greatest Common Factor of 28,62,908 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,62,908 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 908

List of positive integer factors of 908 that divides 908 without a remainder.

1,2,4,227,454,908

Greatest Common Factor

We found the factors 28,62,908 . The biggest common factor number is the GCF number.
So the greatest common factor 28,62,908 is 2.


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 60/28, 855/62, 540/908

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 60/28, 855/62, 540/908?

Answer: LCM of Numerators as per given numbers 60/28, 855/62, 540/908 is

LCM of Numerators i.e. for 60,855,540 is 10260

GCF of denominators i.e. for 28,62,908 is 2.

Thus, LCM of Fractions is 5130.Finally, LCM of Fractions for 60/28, 855/62, 540/908 is 5130.