Least Common Multiple of 50/305, 400/315, 100/202

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 50/305, 400/315, 100/202 quickly i.e. 400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 50/305, 400/315, 100/202 is 400.

LCM(50/305, 400/315, 100/202) = 400

LCM of 50/305, 400/315, 100/202

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 50/305,400/315,100/202

Given numbers are 50/305,400/315,100/202

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 50,400,100

Least Common Multiple of Numerators i.e. LCM of 50,400,100 is 400.

GCF of Denominators means GCF of 305,315,202 as per the given fractions.

GCF of 305,315,202 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 50,400,100

LCM of Fractions 50/305,400/315,100/202 is 400

2 50, 400, 100
2 25, 200, 50
5 25, 100, 25
5 5, 20, 5
1, 4, 1

∴ So the LCM of the given numbers is 2 x 2 x 5 x 5 x 1 x 4 x 1 = 400

Least Common Multiple of 50,400,100 with GCF Formula

Least Common Multiple of 50,400,100 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 50,400,100 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,400,100) = 50

common factors(in case of two or more numbers have common factors) = 100

GCF(50,400,100) x common factors =50 x 100 = 5000

LCM(50,400,100) = ( 50 × 400 × 100 ) / 5000

LCM(50,400,100) = 2000000 / 5000

LCM(50,400,100) = 400


Lets's calculate GCF of 305,315,202

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 400/1

Therefore the LCM of Fractions 50/305,400/315,100/202 is 400

Greatest Common Factor of 305,315,202 By Matching Biggest Common Factor Method

Greatest Common Factor of 305,315,202 By Matching Biggest Common Factor Method

Factors of 305

List of positive integer factors of 305 that divides 305 without a remainder.

1,5,61,305

Factors of 315

List of positive integer factors of 315 that divides 315 without a remainder.

1,3,5,7,9,15,21,35,45,63,105,315

Factors of 202

List of positive integer factors of 202 that divides 202 without a remainder.

1,2,101,202

Greatest Common Factor

We found the factors 305,315,202 . The biggest common factor number is the GCF number.
So the greatest common factor 305,315,202 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 50/305, 400/315, 100/202

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 50/305, 400/315, 100/202?

Answer: LCM of Numerators as per given numbers 50/305, 400/315, 100/202 is

LCM of Numerators i.e. for 50,400,100 is 400

GCF of denominators i.e. for 305,315,202 is 1.

Thus, LCM of Fractions is 400.Finally, LCM of Fractions for 50/305, 400/315, 100/202 is 400.