Least Common Multiple of 1650/331, 9405/563

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1650/331, 9405/563 quickly i.e. 94050 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1650/331, 9405/563 is 94050.

LCM(1650/331, 9405/563) = 94050

LCM of 1650/331, 9405/563

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 1650/331,9405/563

Given numbers are 1650/331,9405/563

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 1650,9405

Least Common Multiple of Numerators i.e. LCM of 1650,9405 is 94050.

GCF of Denominators means GCF of 331,563 as per the given fractions.

GCF of 331,563 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1650,9405

LCM of Fractions 1650/331,9405/563 is 94050

3 1650, 9405
5 550, 3135
11 110, 627
10, 57

∴ So the LCM of the given numbers is 3 x 5 x 11 x 10 x 57 = 94050

Least Common Multiple of 1650,9405 with GCF Formula

Least Common Multiple of 1650,9405 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 1650,9405 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1650,9405) = 165

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

GCF(1650,9405) x common factors =165 x 1 = 165

LCM(1650,9405) = ( 1650 × 9405 ) / 165

LCM(1650,9405) = 15518250 / 165

LCM(1650,9405) = 94050


Lets's calculate GCF of 331,563

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 94050/1

Therefore the LCM of Fractions 1650/331,9405/563 is 94050

Greatest Common Factor of 331,563 By Matching Biggest Common Factor Method

Greatest Common Factor of 331,563 By Matching Biggest Common Factor Method

Factors of 331

List of positive integer factors of 331 that divides 331 without a remainder.

1,331

Factors of 563

List of positive integer factors of 563 that divides 563 without a remainder.

1,563

Greatest Common Factor

We found the factors 331,563 . The biggest common factor number is the GCF number.
So the greatest common factor 331,563 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 1650/331, 9405/563

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 1650/331, 9405/563?

Answer: LCM of Numerators as per given numbers 1650/331, 9405/563 is

LCM of Numerators i.e. for 1650,9405 is 94050

GCF of denominators i.e. for 331,563 is 1.

Thus, LCM of Fractions is 94050.Finally, LCM of Fractions for 1650/331, 9405/563 is 94050.