Least Common Multiple of 7428/175, 1116/7516

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7428/175, 1116/7516 quickly i.e. 690804 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7428/175, 1116/7516 is 690804.

LCM(7428/175, 1116/7516) = 690804

LCM of 7428/175, 1116/7516

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 7428/175,1116/7516

Given numbers are 7428/175,1116/7516

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 7428,1116

Least Common Multiple of Numerators i.e. LCM of 7428,1116 is 690804.

GCF of Denominators means GCF of 175,7516 as per the given fractions.

GCF of 175,7516 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7428,1116

LCM of Fractions 7428/175,1116/7516 is 690804

2 7428, 1116
2 3714, 558
3 1857, 279
619, 93

∴ So the LCM of the given numbers is 2 x 2 x 3 x 619 x 93 = 690804

Least Common Multiple of 7428,1116 with GCF Formula

Least Common Multiple of 7428,1116 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 7428,1116 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7428,1116) = 12

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

GCF(7428,1116) x common factors =12 x 1 = 12

LCM(7428,1116) = ( 7428 × 1116 ) / 12

LCM(7428,1116) = 8289648 / 12

LCM(7428,1116) = 690804


Lets's calculate GCF of 175,7516

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 690804/1

Therefore the LCM of Fractions 7428/175,1116/7516 is 690804

Greatest Common Factor of 175,7516 By Matching Biggest Common Factor Method

Greatest Common Factor of 175,7516 By Matching Biggest Common Factor Method

Factors of 175

List of positive integer factors of 175 that divides 175 without a remainder.

1,5,7,25,35,175

Factors of 7516

List of positive integer factors of 7516 that divides 7516 without a remainder.

1,2,4,1879,3758,7516

Greatest Common Factor

We found the factors 175,7516 . The biggest common factor number is the GCF number.
So the greatest common factor 175,7516 is 1.


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 7428/175, 1116/7516

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 7428/175, 1116/7516?

Answer: LCM of Numerators as per given numbers 7428/175, 1116/7516 is

LCM of Numerators i.e. for 7428,1116 is 690804

GCF of denominators i.e. for 175,7516 is 1.

Thus, LCM of Fractions is 690804.Finally, LCM of Fractions for 7428/175, 1116/7516 is 690804.