Least Common Multiple of 5089/618, 6940/370

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5089/618, 6940/370 quickly i.e. 17658830 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5089/618, 6940/370 is 17658830.

LCM(5089/618, 6940/370) = 17658830

LCM of 5089/618, 6940/370

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 5089/618,6940/370

Given numbers are 5089/618,6940/370

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 5089,6940

Least Common Multiple of Numerators i.e. LCM of 5089,6940 is 35317660.

GCF of Denominators means GCF of 618,370 as per the given fractions.

GCF of 618,370 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5089,6940

LCM of Fractions 5089/618,6940/370 is 17658830

Given numbers has no common factors except 1. So, there LCM is their product i.e 35317660

Least Common Multiple of 5089,6940 with GCF Formula

Least Common Multiple of 5089,6940 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 5089,6940 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5089,6940) = 1

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

GCF(5089,6940) x common factors =1 x 1 = 1

LCM(5089,6940) = ( 5089 × 6940 ) / 1

LCM(5089,6940) = 35317660 / 1

LCM(5089,6940) = 35317660


Lets's calculate GCF of 618,370

2 618, 370
309, 185

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35317660/2

Therefore the LCM of Fractions 5089/618,6940/370 is 17658830

Greatest Common Factor of 618,370 By Matching Biggest Common Factor Method

Greatest Common Factor of 618,370 By Matching Biggest Common Factor Method

Factors of 618

List of positive integer factors of 618 that divides 618 without a remainder.

1,2,3,6,103,206,309,618

Factors of 370

List of positive integer factors of 370 that divides 370 without a remainder.

1,2,5,10,37,74,185,370

Greatest Common Factor

We found the factors 618,370 . The biggest common factor number is the GCF number.
So the greatest common factor 618,370 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 5089/618, 6940/370

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 5089/618, 6940/370?

Answer: LCM of Numerators as per given numbers 5089/618, 6940/370 is

LCM of Numerators i.e. for 5089,6940 is 35317660

GCF of denominators i.e. for 618,370 is 2.

Thus, LCM of Fractions is 17658830.Finally, LCM of Fractions for 5089/618, 6940/370 is 17658830.