Least Common Multiple of 8585/613, 7870/253

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8585/613, 7870/253 quickly i.e. 13512790 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8585/613, 7870/253 is 13512790.

LCM(8585/613, 7870/253) = 13512790

LCM of 8585/613, 7870/253

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 8585/613,7870/253

Given numbers are 8585/613,7870/253

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 8585,7870

Least Common Multiple of Numerators i.e. LCM of 8585,7870 is 13512790.

GCF of Denominators means GCF of 613,253 as per the given fractions.

GCF of 613,253 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8585,7870

LCM of Fractions 8585/613,7870/253 is 13512790

5 8585, 7870
1717, 1574

∴ So the LCM of the given numbers is 5 x 1717 x 1574 = 13512790

Least Common Multiple of 8585,7870 with GCF Formula

Least Common Multiple of 8585,7870 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 8585,7870 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8585,7870) = 5

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

GCF(8585,7870) x common factors =5 x 1 = 5

LCM(8585,7870) = ( 8585 × 7870 ) / 5

LCM(8585,7870) = 67563950 / 5

LCM(8585,7870) = 13512790


Lets's calculate GCF of 613,253

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13512790/1

Therefore the LCM of Fractions 8585/613,7870/253 is 13512790

Greatest Common Factor of 613,253 By Matching Biggest Common Factor Method

Greatest Common Factor of 613,253 By Matching Biggest Common Factor Method

Factors of 613

List of positive integer factors of 613 that divides 613 without a remainder.

1,613

Factors of 253

List of positive integer factors of 253 that divides 253 without a remainder.

1,11,23,253

Greatest Common Factor

We found the factors 613,253 . The biggest common factor number is the GCF number.
So the greatest common factor 613,253 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 8585/613, 7870/253

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 8585/613, 7870/253?

Answer: LCM of Numerators as per given numbers 8585/613, 7870/253 is

LCM of Numerators i.e. for 8585,7870 is 13512790

GCF of denominators i.e. for 613,253 is 1.

Thus, LCM of Fractions is 13512790.Finally, LCM of Fractions for 8585/613, 7870/253 is 13512790.