Least Common Multiple of 9240/724, 8332/1170

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9240/724, 8332/1170 quickly i.e. 9623460 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9240/724, 8332/1170 is 9623460.

LCM(9240/724, 8332/1170) = 9623460

LCM of 9240/724, 8332/1170

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 9240/724,8332/1170

Given numbers are 9240/724,8332/1170

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 9240,8332

Least Common Multiple of Numerators i.e. LCM of 9240,8332 is 19246920.

GCF of Denominators means GCF of 724,1170 as per the given fractions.

GCF of 724,1170 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9240,8332

LCM of Fractions 9240/724,8332/1170 is 9623460

2 9240, 8332
2 4620, 4166
2310, 2083

∴ So the LCM of the given numbers is 2 x 2 x 2310 x 2083 = 19246920

Least Common Multiple of 9240,8332 with GCF Formula

Least Common Multiple of 9240,8332 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 9240,8332 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9240,8332) = 4

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

GCF(9240,8332) x common factors =4 x 1 = 4

LCM(9240,8332) = ( 9240 × 8332 ) / 4

LCM(9240,8332) = 76987680 / 4

LCM(9240,8332) = 19246920


Lets's calculate GCF of 724,1170

2 724, 1170
362, 585

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19246920/2

Therefore the LCM of Fractions 9240/724,8332/1170 is 9623460

Greatest Common Factor of 724,1170 By Matching Biggest Common Factor Method

Greatest Common Factor of 724,1170 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 1170

List of positive integer factors of 1170 that divides 1170 without a remainder.

1,2,3,5,6,9,10,13,15,18,26,30,39,45,65,78,90,117,130,195,234,390,585,1170

Greatest Common Factor

We found the factors 724,1170 . The biggest common factor number is the GCF number.
So the greatest common factor 724,1170 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 9240/724, 8332/1170

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 9240/724, 8332/1170?

Answer: LCM of Numerators as per given numbers 9240/724, 8332/1170 is

LCM of Numerators i.e. for 9240,8332 is 19246920

GCF of denominators i.e. for 724,1170 is 2.

Thus, LCM of Fractions is 9623460.Finally, LCM of Fractions for 9240/724, 8332/1170 is 9623460.