Least Common Multiple of 50/150, 35/363, 960/477

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 50/150, 35/363, 960/477 quickly i.e. 11200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 50/150, 35/363, 960/477 is 11200.

LCM(50/150, 35/363, 960/477) = 11200

LCM of 50/150, 35/363, 960/477

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 50/150,35/363,960/477

Given numbers are 50/150,35/363,960/477

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 50,35,960

Least Common Multiple of Numerators i.e. LCM of 50,35,960 is 33600.

GCF of Denominators means GCF of 150,363,477 as per the given fractions.

GCF of 150,363,477 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 50,35,960

LCM of Fractions 50/150,35/363,960/477 is 11200

2 50, 35, 960
5 25, 35, 480
5, 7, 96

∴ So the LCM of the given numbers is 2 x 5 x 5 x 7 x 96 = 33600

Least Common Multiple of 50,35,960 with GCF Formula

Least Common Multiple of 50,35,960 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 50,35,960 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,35,960) = 5

common factors(in case of two or more numbers have common factors) = 10

GCF(50,35,960) x common factors =5 x 10 = 50

LCM(50,35,960) = ( 50 × 35 × 960 ) / 50

LCM(50,35,960) = 1680000 / 50

LCM(50,35,960) = 33600


Lets's calculate GCF of 150,363,477

3 150, 363, 477
50, 121, 159

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33600/3

Therefore the LCM of Fractions 50/150,35/363,960/477 is 11200

Greatest Common Factor of 150,363,477 By Matching Biggest Common Factor Method

Greatest Common Factor of 150,363,477 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 363

List of positive integer factors of 363 that divides 363 without a remainder.

1,3,11,33,121,363

Factors of 477

List of positive integer factors of 477 that divides 477 without a remainder.

1,3,9,53,159,477

Greatest Common Factor

We found the factors 150,363,477 . The biggest common factor number is the GCF number.
So the greatest common factor 150,363,477 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 50/150, 35/363, 960/477

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 50/150, 35/363, 960/477?

Answer: LCM of Numerators as per given numbers 50/150, 35/363, 960/477 is

LCM of Numerators i.e. for 50,35,960 is 33600

GCF of denominators i.e. for 150,363,477 is 3.

Thus, LCM of Fractions is 11200.Finally, LCM of Fractions for 50/150, 35/363, 960/477 is 11200.