Least Common Multiple of 388/51, 540/9924

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 388/51, 540/9924 quickly i.e. 17460 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 388/51, 540/9924 is 17460.

LCM(388/51, 540/9924) = 17460

LCM of 388/51, 540/9924

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 388/51,540/9924

Given numbers are 388/51,540/9924

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 388,540

Least Common Multiple of Numerators i.e. LCM of 388,540 is 52380.

GCF of Denominators means GCF of 51,9924 as per the given fractions.

GCF of 51,9924 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 388,540

LCM of Fractions 388/51,540/9924 is 17460

2 388, 540
2 194, 270
97, 135

∴ So the LCM of the given numbers is 2 x 2 x 97 x 135 = 52380

Least Common Multiple of 388,540 with GCF Formula

Least Common Multiple of 388,540 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 388,540 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(388,540) = 4

common factors(in case of two or more numbers have common factors) = 1

GCF(388,540) x common factors =4 x 1 = 4

LCM(388,540) = ( 388 × 540 ) / 4

LCM(388,540) = 209520 / 4

LCM(388,540) = 52380


Lets's calculate GCF of 51,9924

3 51, 9924
17, 3308

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 52380/3

Therefore the LCM of Fractions 388/51,540/9924 is 17460

Greatest Common Factor of 51,9924 By Matching Biggest Common Factor Method

Greatest Common Factor of 51,9924 By Matching Biggest Common Factor Method

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 9924

List of positive integer factors of 9924 that divides 9924 without a remainder.

1,2,3,4,6,12,827,1654,2481,3308,4962,9924

Greatest Common Factor

We found the factors 51,9924 . The biggest common factor number is the GCF number.
So the greatest common factor 51,9924 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 388/51, 540/9924

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 388/51, 540/9924?

Answer: LCM of Numerators as per given numbers 388/51, 540/9924 is

LCM of Numerators i.e. for 388,540 is 52380

GCF of denominators i.e. for 51,9924 is 3.

Thus, LCM of Fractions is 17460.Finally, LCM of Fractions for 388/51, 540/9924 is 17460.