Least Common Multiple of 187/30, 572/76, 510/28

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 187/30, 572/76, 510/28 quickly i.e. 72930 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 187/30, 572/76, 510/28 is 72930.

LCM(187/30, 572/76, 510/28) = 72930

LCM of 187/30, 572/76, 510/28

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 187/30,572/76,510/28

Given numbers are 187/30,572/76,510/28

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 187,572,510

Least Common Multiple of Numerators i.e. LCM of 187,572,510 is 145860.

GCF of Denominators means GCF of 30,76,28 as per the given fractions.

GCF of 30,76,28 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 187,572,510

LCM of Fractions 187/30,572/76,510/28 is 72930

2 187, 572, 510
11 187, 286, 255
17 17, 26, 255
1, 26, 15

∴ So the LCM of the given numbers is 2 x 11 x 17 x 1 x 26 x 15 = 145860

Least Common Multiple of 187,572,510 with GCF Formula

Least Common Multiple of 187,572,510 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 187,572,510 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(187,572,510) = 1

common factors(in case of two or more numbers have common factors) = 374

GCF(187,572,510) x common factors =1 x 374 = 374

LCM(187,572,510) = ( 187 × 572 × 510 ) / 374

LCM(187,572,510) = 54551640 / 374

LCM(187,572,510) = 145860


Lets's calculate GCF of 30,76,28

2 30, 76, 28
15, 38, 14

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 145860/2

Therefore the LCM of Fractions 187/30,572/76,510/28 is 72930

Greatest Common Factor of 30,76,28 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,76,28 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 28

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

1,2,4,7,14,28

Greatest Common Factor

We found the factors 30,76,28 . The biggest common factor number is the GCF number.
So the greatest common factor 30,76,28 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 187/30, 572/76, 510/28

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 187/30, 572/76, 510/28?

Answer: LCM of Numerators as per given numbers 187/30, 572/76, 510/28 is

LCM of Numerators i.e. for 187,572,510 is 145860

GCF of denominators i.e. for 30,76,28 is 2.

Thus, LCM of Fractions is 72930.Finally, LCM of Fractions for 187/30, 572/76, 510/28 is 72930.