Least Common Multiple of 50/657, 90/333, 189/856

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 50/657, 90/333, 189/856 quickly i.e. 9450 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 50/657, 90/333, 189/856 is 9450.

LCM(50/657, 90/333, 189/856) = 9450

LCM of 50/657, 90/333, 189/856

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 50/657,90/333,189/856

Given numbers are 50/657,90/333,189/856

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 50,90,189

Least Common Multiple of Numerators i.e. LCM of 50,90,189 is 9450.

GCF of Denominators means GCF of 657,333,856 as per the given fractions.

GCF of 657,333,856 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 50,90,189

LCM of Fractions 50/657,90/333,189/856 is 9450

2 50, 90, 189
3 25, 45, 189
3 25, 15, 63
5 25, 5, 21
1, 5, 21

∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 1 x 5 x 21 = 9450

Least Common Multiple of 50,90,189 with GCF Formula

Least Common Multiple of 50,90,189 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 50,90,189 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,90,189) = 1

common factors(in case of two or more numbers have common factors) = 90

GCF(50,90,189) x common factors =1 x 90 = 90

LCM(50,90,189) = ( 50 × 90 × 189 ) / 90

LCM(50,90,189) = 850500 / 90

LCM(50,90,189) = 9450


Lets's calculate GCF of 657,333,856

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9450/1

Therefore the LCM of Fractions 50/657,90/333,189/856 is 9450

Greatest Common Factor of 657,333,856 By Matching Biggest Common Factor Method

Greatest Common Factor of 657,333,856 By Matching Biggest Common Factor Method

Factors of 657

List of positive integer factors of 657 that divides 657 without a remainder.

1,3,9,73,219,657

Factors of 333

List of positive integer factors of 333 that divides 333 without a remainder.

1,3,9,37,111,333

Factors of 856

List of positive integer factors of 856 that divides 856 without a remainder.

1,2,4,8,107,214,428,856

Greatest Common Factor

We found the factors 657,333,856 . The biggest common factor number is the GCF number.
So the greatest common factor 657,333,856 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 50/657, 90/333, 189/856

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 50/657, 90/333, 189/856?

Answer: LCM of Numerators as per given numbers 50/657, 90/333, 189/856 is

LCM of Numerators i.e. for 50,90,189 is 9450

GCF of denominators i.e. for 657,333,856 is 1.

Thus, LCM of Fractions is 9450.Finally, LCM of Fractions for 50/657, 90/333, 189/856 is 9450.