Least Common Multiple of 7170/724, 8340/1150

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7170/724, 8340/1150 quickly i.e. 996630 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7170/724, 8340/1150 is 996630.

LCM(7170/724, 8340/1150) = 996630

LCM of 7170/724, 8340/1150

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 7170/724,8340/1150

Given numbers are 7170/724,8340/1150

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 7170,8340

Least Common Multiple of Numerators i.e. LCM of 7170,8340 is 1993260.

GCF of Denominators means GCF of 724,1150 as per the given fractions.

GCF of 724,1150 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7170,8340

LCM of Fractions 7170/724,8340/1150 is 996630

2 7170, 8340
3 3585, 4170
5 1195, 1390
239, 278

∴ So the LCM of the given numbers is 2 x 3 x 5 x 239 x 278 = 1993260

Least Common Multiple of 7170,8340 with GCF Formula

Least Common Multiple of 7170,8340 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 7170,8340 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7170,8340) = 30

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

GCF(7170,8340) x common factors =30 x 1 = 30

LCM(7170,8340) = ( 7170 × 8340 ) / 30

LCM(7170,8340) = 59797800 / 30

LCM(7170,8340) = 1993260


Lets's calculate GCF of 724,1150

2 724, 1150
362, 575

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1993260/2

Therefore the LCM of Fractions 7170/724,8340/1150 is 996630

Greatest Common Factor of 724,1150 By Matching Biggest Common Factor Method

Greatest Common Factor of 724,1150 By Matching Biggest Common Factor Method

Factors of 724

List of positive integer factors of 724 that divides 724 without a remainder.

1,2,4,181,362,724

Factors of 1150

List of positive integer factors of 1150 that divides 1150 without a remainder.

1,2,5,10,23,25,46,50,115,230,575,1150

Greatest Common Factor

We found the factors 724,1150 . The biggest common factor number is the GCF number.
So the greatest common factor 724,1150 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 7170/724, 8340/1150

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 7170/724, 8340/1150?

Answer: LCM of Numerators as per given numbers 7170/724, 8340/1150 is

LCM of Numerators i.e. for 7170,8340 is 1993260

GCF of denominators i.e. for 724,1150 is 2.

Thus, LCM of Fractions is 996630.Finally, LCM of Fractions for 7170/724, 8340/1150 is 996630.