Least Common Multiple of 8970/729, 7780/7215

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8970/729, 7780/7215 quickly i.e. 2326220 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8970/729, 7780/7215 is 2326220.

LCM(8970/729, 7780/7215) = 2326220

LCM of 8970/729, 7780/7215

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 8970/729,7780/7215

Given numbers are 8970/729,7780/7215

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 8970,7780

Least Common Multiple of Numerators i.e. LCM of 8970,7780 is 6978660.

GCF of Denominators means GCF of 729,7215 as per the given fractions.

GCF of 729,7215 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8970,7780

LCM of Fractions 8970/729,7780/7215 is 2326220

2 8970, 7780
5 4485, 3890
897, 778

∴ So the LCM of the given numbers is 2 x 5 x 897 x 778 = 6978660

Least Common Multiple of 8970,7780 with GCF Formula

Least Common Multiple of 8970,7780 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 8970,7780 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8970,7780) = 10

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

GCF(8970,7780) x common factors =10 x 1 = 10

LCM(8970,7780) = ( 8970 × 7780 ) / 10

LCM(8970,7780) = 69786600 / 10

LCM(8970,7780) = 6978660


Lets's calculate GCF of 729,7215

3 729, 7215
243, 2405

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6978660/3

Therefore the LCM of Fractions 8970/729,7780/7215 is 2326220

Greatest Common Factor of 729,7215 By Matching Biggest Common Factor Method

Greatest Common Factor of 729,7215 By Matching Biggest Common Factor Method

Factors of 729

List of positive integer factors of 729 that divides 729 without a remainder.

1,3,9,27,81,243,729

Factors of 7215

List of positive integer factors of 7215 that divides 7215 without a remainder.

1,3,5,13,15,37,39,65,111,185,195,481,555,1443,2405,7215

Greatest Common Factor

We found the factors 729,7215 . The biggest common factor number is the GCF number.
So the greatest common factor 729,7215 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 8970/729, 7780/7215

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 8970/729, 7780/7215?

Answer: LCM of Numerators as per given numbers 8970/729, 7780/7215 is

LCM of Numerators i.e. for 8970,7780 is 6978660

GCF of denominators i.e. for 729,7215 is 3.

Thus, LCM of Fractions is 2326220.Finally, LCM of Fractions for 8970/729, 7780/7215 is 2326220.