Least Common Multiple of 8460/150, 9080/731

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8460/150, 9080/731 quickly i.e. 3840840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8460/150, 9080/731 is 3840840.

LCM(8460/150, 9080/731) = 3840840

LCM of 8460/150, 9080/731

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 8460/150,9080/731

Given numbers are 8460/150,9080/731

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 8460,9080

Least Common Multiple of Numerators i.e. LCM of 8460,9080 is 3840840.

GCF of Denominators means GCF of 150,731 as per the given fractions.

GCF of 150,731 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8460,9080

LCM of Fractions 8460/150,9080/731 is 3840840

2 8460, 9080
2 4230, 4540
5 2115, 2270
423, 454

∴ So the LCM of the given numbers is 2 x 2 x 5 x 423 x 454 = 3840840

Least Common Multiple of 8460,9080 with GCF Formula

Least Common Multiple of 8460,9080 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 8460,9080 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8460,9080) = 20

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

GCF(8460,9080) x common factors =20 x 1 = 20

LCM(8460,9080) = ( 8460 × 9080 ) / 20

LCM(8460,9080) = 76816800 / 20

LCM(8460,9080) = 3840840


Lets's calculate GCF of 150,731

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3840840/1

Therefore the LCM of Fractions 8460/150,9080/731 is 3840840

Greatest Common Factor of 150,731 By Matching Biggest Common Factor Method

Greatest Common Factor of 150,731 By Matching Biggest Common Factor Method

Factors of 150

List of positive integer factors of 150 that divides 150 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,150

Factors of 731

List of positive integer factors of 731 that divides 731 without a remainder.

1,17,43,731

Greatest Common Factor

We found the factors 150,731 . The biggest common factor number is the GCF number.
So the greatest common factor 150,731 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 8460/150, 9080/731

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 8460/150, 9080/731?

Answer: LCM of Numerators as per given numbers 8460/150, 9080/731 is

LCM of Numerators i.e. for 8460,9080 is 3840840

GCF of denominators i.e. for 150,731 is 1.

Thus, LCM of Fractions is 3840840.Finally, LCM of Fractions for 8460/150, 9080/731 is 3840840.