Least Common Multiple of 7560/868, 5555/7615

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7560/868, 5555/7615 quickly i.e. 8399160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7560/868, 5555/7615 is 8399160.

LCM(7560/868, 5555/7615) = 8399160

LCM of 7560/868, 5555/7615

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 7560/868,5555/7615

Given numbers are 7560/868,5555/7615

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 7560,5555

Least Common Multiple of Numerators i.e. LCM of 7560,5555 is 8399160.

GCF of Denominators means GCF of 868,7615 as per the given fractions.

GCF of 868,7615 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7560,5555

LCM of Fractions 7560/868,5555/7615 is 8399160

5 7560, 5555
1512, 1111

∴ So the LCM of the given numbers is 5 x 1512 x 1111 = 8399160

Least Common Multiple of 7560,5555 with GCF Formula

Least Common Multiple of 7560,5555 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 7560,5555 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7560,5555) = 5

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

GCF(7560,5555) x common factors =5 x 1 = 5

LCM(7560,5555) = ( 7560 × 5555 ) / 5

LCM(7560,5555) = 41995800 / 5

LCM(7560,5555) = 8399160


Lets's calculate GCF of 868,7615

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8399160/1

Therefore the LCM of Fractions 7560/868,5555/7615 is 8399160

Greatest Common Factor of 868,7615 By Matching Biggest Common Factor Method

Greatest Common Factor of 868,7615 By Matching Biggest Common Factor Method

Factors of 868

List of positive integer factors of 868 that divides 868 without a remainder.

1,2,4,7,14,28,31,62,124,217,434,868

Factors of 7615

List of positive integer factors of 7615 that divides 7615 without a remainder.

1,5,1523,7615

Greatest Common Factor

We found the factors 868,7615 . The biggest common factor number is the GCF number.
So the greatest common factor 868,7615 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 7560/868, 5555/7615

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 7560/868, 5555/7615?

Answer: LCM of Numerators as per given numbers 7560/868, 5555/7615 is

LCM of Numerators i.e. for 7560,5555 is 8399160

GCF of denominators i.e. for 868,7615 is 1.

Thus, LCM of Fractions is 8399160.Finally, LCM of Fractions for 7560/868, 5555/7615 is 8399160.