Least Common Multiple of 7618/693, 7524/6968

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7618/693, 7524/6968 quickly i.e. 28658916 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7618/693, 7524/6968 is 28658916.

LCM(7618/693, 7524/6968) = 28658916

LCM of 7618/693, 7524/6968

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 7618/693,7524/6968

Given numbers are 7618/693,7524/6968

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 7618,7524

Least Common Multiple of Numerators i.e. LCM of 7618,7524 is 28658916.

GCF of Denominators means GCF of 693,6968 as per the given fractions.

GCF of 693,6968 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7618,7524

LCM of Fractions 7618/693,7524/6968 is 28658916

2 7618, 7524
3809, 3762

∴ So the LCM of the given numbers is 2 x 3809 x 3762 = 28658916

Least Common Multiple of 7618,7524 with GCF Formula

Least Common Multiple of 7618,7524 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 7618,7524 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7618,7524) = 2

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

GCF(7618,7524) x common factors =2 x 1 = 2

LCM(7618,7524) = ( 7618 × 7524 ) / 2

LCM(7618,7524) = 57317832 / 2

LCM(7618,7524) = 28658916


Lets's calculate GCF of 693,6968

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28658916/1

Therefore the LCM of Fractions 7618/693,7524/6968 is 28658916

Greatest Common Factor of 693,6968 By Matching Biggest Common Factor Method

Greatest Common Factor of 693,6968 By Matching Biggest Common Factor Method

Factors of 693

List of positive integer factors of 693 that divides 693 without a remainder.

1,3,7,9,11,21,33,63,77,99,231,693

Factors of 6968

List of positive integer factors of 6968 that divides 6968 without a remainder.

1,2,4,8,13,26,52,67,104,134,268,536,871,1742,3484,6968

Greatest Common Factor

We found the factors 693,6968 . The biggest common factor number is the GCF number.
So the greatest common factor 693,6968 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 7618/693, 7524/6968

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 7618/693, 7524/6968?

Answer: LCM of Numerators as per given numbers 7618/693, 7524/6968 is

LCM of Numerators i.e. for 7618,7524 is 28658916

GCF of denominators i.e. for 693,6968 is 1.

Thus, LCM of Fractions is 28658916.Finally, LCM of Fractions for 7618/693, 7524/6968 is 28658916.