Least Common Multiple of 89/150, 8313/6543

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 89/150, 8313/6543 quickly i.e. 246619 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 89/150, 8313/6543 is 246619.

LCM(89/150, 8313/6543) = 246619

LCM of 89/150, 8313/6543

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 89/150,8313/6543

Given numbers are 89/150,8313/6543

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 89,8313

Least Common Multiple of Numerators i.e. LCM of 89,8313 is 739857.

GCF of Denominators means GCF of 150,6543 as per the given fractions.

GCF of 150,6543 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 89,8313

LCM of Fractions 89/150,8313/6543 is 246619

Given numbers has no common factors except 1. So, there LCM is their product i.e 739857

Least Common Multiple of 89,8313 with GCF Formula

Least Common Multiple of 89,8313 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 89,8313 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,8313) = 1

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

GCF(89,8313) x common factors =1 x 1 = 1

LCM(89,8313) = ( 89 × 8313 ) / 1

LCM(89,8313) = 739857 / 1

LCM(89,8313) = 739857


Lets's calculate GCF of 150,6543

3 150, 6543
50, 2181

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 739857/3

Therefore the LCM of Fractions 89/150,8313/6543 is 246619

Greatest Common Factor of 150,6543 By Matching Biggest Common Factor Method

Greatest Common Factor of 150,6543 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 6543

List of positive integer factors of 6543 that divides 6543 without a remainder.

1,3,9,727,2181,6543

Greatest Common Factor

We found the factors 150,6543 . The biggest common factor number is the GCF number.
So the greatest common factor 150,6543 is 3.


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 89/150, 8313/6543

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 89/150, 8313/6543?

Answer: LCM of Numerators as per given numbers 89/150, 8313/6543 is

LCM of Numerators i.e. for 89,8313 is 739857

GCF of denominators i.e. for 150,6543 is 3.

Thus, LCM of Fractions is 246619.Finally, LCM of Fractions for 89/150, 8313/6543 is 246619.