Least Common Multiple of 8145/826, 7504/7755

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 8145/826, 7504/7755 quickly i.e. 61120080 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8145/826, 7504/7755 is 61120080.

LCM(8145/826, 7504/7755) = 61120080

LCM of 8145/826, 7504/7755

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 8145/826,7504/7755

Given numbers are 8145/826,7504/7755

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 8145,7504

Least Common Multiple of Numerators i.e. LCM of 8145,7504 is 61120080.

GCF of Denominators means GCF of 826,7755 as per the given fractions.

GCF of 826,7755 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8145,7504

LCM of Fractions 8145/826,7504/7755 is 61120080

Given numbers has no common factors except 1. So, there LCM is their product i.e 61120080

Least Common Multiple of 8145,7504 with GCF Formula

Least Common Multiple of 8145,7504 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 8145,7504 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8145,7504) = 1

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

GCF(8145,7504) x common factors =1 x 1 = 1

LCM(8145,7504) = ( 8145 × 7504 ) / 1

LCM(8145,7504) = 61120080 / 1

LCM(8145,7504) = 61120080


Lets's calculate GCF of 826,7755

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 61120080/1

Therefore the LCM of Fractions 8145/826,7504/7755 is 61120080

Greatest Common Factor of 826,7755 By Matching Biggest Common Factor Method

Greatest Common Factor of 826,7755 By Matching Biggest Common Factor Method

Factors of 826

List of positive integer factors of 826 that divides 826 without a remainder.

1,2,7,14,59,118,413,826

Factors of 7755

List of positive integer factors of 7755 that divides 7755 without a remainder.

1,3,5,11,15,33,47,55,141,165,235,517,705,1551,2585,7755

Greatest Common Factor

We found the factors 826,7755 . The biggest common factor number is the GCF number.
So the greatest common factor 826,7755 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 8145/826, 7504/7755

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 8145/826, 7504/7755?

Answer: LCM of Numerators as per given numbers 8145/826, 7504/7755 is

LCM of Numerators i.e. for 8145,7504 is 61120080

GCF of denominators i.e. for 826,7755 is 1.

Thus, LCM of Fractions is 61120080.Finally, LCM of Fractions for 8145/826, 7504/7755 is 61120080.