Least Common Multiple of 30/64, 272/38, 516/628

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 30/64, 272/38, 516/628 quickly i.e. 87720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 30/64, 272/38, 516/628 is 87720.

LCM(30/64, 272/38, 516/628) = 87720

LCM of 30/64, 272/38, 516/628

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 30/64,272/38,516/628

Given numbers are 30/64,272/38,516/628

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 30,272,516

Least Common Multiple of Numerators i.e. LCM of 30,272,516 is 175440.

GCF of Denominators means GCF of 64,38,628 as per the given fractions.

GCF of 64,38,628 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 30,272,516

LCM of Fractions 30/64,272/38,516/628 is 87720

2 30, 272, 516
2 15, 136, 258
3 15, 68, 129
5, 68, 43

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 68 x 43 = 175440

Least Common Multiple of 30,272,516 with GCF Formula

Least Common Multiple of 30,272,516 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 30,272,516 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,272,516) = 2

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

GCF(30,272,516) x common factors =2 x 12 = 24

LCM(30,272,516) = ( 30 × 272 × 516 ) / 24

LCM(30,272,516) = 4210560 / 24

LCM(30,272,516) = 175440


Lets's calculate GCF of 64,38,628

2 64, 38, 628
32, 19, 314

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 175440/2

Therefore the LCM of Fractions 30/64,272/38,516/628 is 87720

Greatest Common Factor of 64,38,628 By Matching Biggest Common Factor Method

Greatest Common Factor of 64,38,628 By Matching Biggest Common Factor Method

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 628

List of positive integer factors of 628 that divides 628 without a remainder.

1,2,4,157,314,628

Greatest Common Factor

We found the factors 64,38,628 . The biggest common factor number is the GCF number.
So the greatest common factor 64,38,628 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 30/64, 272/38, 516/628

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 30/64, 272/38, 516/628?

Answer: LCM of Numerators as per given numbers 30/64, 272/38, 516/628 is

LCM of Numerators i.e. for 30,272,516 is 175440

GCF of denominators i.e. for 64,38,628 is 2.

Thus, LCM of Fractions is 87720.Finally, LCM of Fractions for 30/64, 272/38, 516/628 is 87720.