Least Common Multiple of 8609/116, 8156/2410

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8609/116, 8156/2410 quickly i.e. 35107502 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8609/116, 8156/2410 is 35107502.

LCM(8609/116, 8156/2410) = 35107502

LCM of 8609/116, 8156/2410

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 8609/116,8156/2410

Given numbers are 8609/116,8156/2410

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 8609,8156

Least Common Multiple of Numerators i.e. LCM of 8609,8156 is 70215004.

GCF of Denominators means GCF of 116,2410 as per the given fractions.

GCF of 116,2410 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8609,8156

LCM of Fractions 8609/116,8156/2410 is 35107502

Given numbers has no common factors except 1. So, there LCM is their product i.e 70215004

Least Common Multiple of 8609,8156 with GCF Formula

Least Common Multiple of 8609,8156 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 8609,8156 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8609,8156) = 1

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

GCF(8609,8156) x common factors =1 x 1 = 1

LCM(8609,8156) = ( 8609 × 8156 ) / 1

LCM(8609,8156) = 70215004 / 1

LCM(8609,8156) = 70215004


Lets's calculate GCF of 116,2410

2 116, 2410
58, 1205

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 70215004/2

Therefore the LCM of Fractions 8609/116,8156/2410 is 35107502

Greatest Common Factor of 116,2410 By Matching Biggest Common Factor Method

Greatest Common Factor of 116,2410 By Matching Biggest Common Factor Method

Factors of 116

List of positive integer factors of 116 that divides 116 without a remainder.

1,2,4,29,58,116

Factors of 2410

List of positive integer factors of 2410 that divides 2410 without a remainder.

1,2,5,10,241,482,1205,2410

Greatest Common Factor

We found the factors 116,2410 . The biggest common factor number is the GCF number.
So the greatest common factor 116,2410 is 2.


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 8609/116, 8156/2410

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 8609/116, 8156/2410?

Answer: LCM of Numerators as per given numbers 8609/116, 8156/2410 is

LCM of Numerators i.e. for 8609,8156 is 70215004

GCF of denominators i.e. for 116,2410 is 2.

Thus, LCM of Fractions is 35107502.Finally, LCM of Fractions for 8609/116, 8156/2410 is 35107502.