Least Common Multiple of 938/75, 120/4599

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 938/75, 120/4599 quickly i.e. 18760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 938/75, 120/4599 is 18760.

LCM(938/75, 120/4599) = 18760

LCM of 938/75, 120/4599

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 938/75,120/4599

Given numbers are 938/75,120/4599

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 938,120

Least Common Multiple of Numerators i.e. LCM of 938,120 is 56280.

GCF of Denominators means GCF of 75,4599 as per the given fractions.

GCF of 75,4599 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 938,120

LCM of Fractions 938/75,120/4599 is 18760

2 938, 120
469, 60

∴ So the LCM of the given numbers is 2 x 469 x 60 = 56280

Least Common Multiple of 938,120 with GCF Formula

Least Common Multiple of 938,120 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 938,120 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(938,120) = 2

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

GCF(938,120) x common factors =2 x 1 = 2

LCM(938,120) = ( 938 × 120 ) / 2

LCM(938,120) = 112560 / 2

LCM(938,120) = 56280


Lets's calculate GCF of 75,4599

3 75, 4599
25, 1533

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 56280/3

Therefore the LCM of Fractions 938/75,120/4599 is 18760

Greatest Common Factor of 75,4599 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,4599 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 4599

List of positive integer factors of 4599 that divides 4599 without a remainder.

1,3,7,9,21,63,73,219,511,657,1533,4599

Greatest Common Factor

We found the factors 75,4599 . The biggest common factor number is the GCF number.
So the greatest common factor 75,4599 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 938/75, 120/4599

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 938/75, 120/4599?

Answer: LCM of Numerators as per given numbers 938/75, 120/4599 is

LCM of Numerators i.e. for 938,120 is 56280

GCF of denominators i.e. for 75,4599 is 3.

Thus, LCM of Fractions is 18760.Finally, LCM of Fractions for 938/75, 120/4599 is 18760.