Least Common Multiple of 311/400, 784/150

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 311/400, 784/150 quickly i.e. 243824/50 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 311/400, 784/150 is 243824/50.

LCM(311/400, 784/150) = 243824/50

LCM of 311/400, 784/150

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 311/400,784/150

Given numbers are 311/400,784/150

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 311,784

Least Common Multiple of Numerators i.e. LCM of 311,784 is 243824.

GCF of Denominators means GCF of 400,150 as per the given fractions.

GCF of 400,150 is 50 as it is the largest common factor for these numbers.

Lets's calculate LCM of 311,784

LCM of Fractions 311/400,784/150 is 243824/50

Given numbers has no common factors except 1. So, there LCM is their product i.e 243824

Least Common Multiple of 311,784 with GCF Formula

Least Common Multiple of 311,784 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 311,784 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(311,784) = 1

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

GCF(311,784) x common factors =1 x 1 = 1

LCM(311,784) = ( 311 × 784 ) / 1

LCM(311,784) = 243824 / 1

LCM(311,784) = 243824


Lets's calculate GCF of 400,150

2 400, 150
5 200, 75
5 40, 15
8, 3

∴ So the GCF of the given numbers is 2 x 5 x 5 = 50

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 243824/50

Therefore the LCM of Fractions 311/400,784/150 is 243824/50

Greatest Common Factor of 400,150 By Matching Biggest Common Factor Method

Greatest Common Factor of 400,150 By Matching Biggest Common Factor Method

Factors of 400

List of positive integer factors of 400 that divides 400 without a remainder.

1,2,4,5,8,10,16,20,25,40,50,80,100,200,400

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

Greatest Common Factor

We found the factors 400,150 . The biggest common factor number is the GCF number.
So the greatest common factor 400,150 is 50.


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 311/400, 784/150

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 311/400, 784/150?

Answer: LCM of Numerators as per given numbers 311/400, 784/150 is

LCM of Numerators i.e. for 311,784 is 243824

GCF of denominators i.e. for 400,150 is 50.

Thus, LCM of Fractions is 243824/50.Finally, LCM of Fractions for 311/400, 784/150 is 243824/50.