Least Common Multiple of 291/400, 3778/6868

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 291/400, 3778/6868 quickly i.e. 1099398/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 291/400, 3778/6868 is 1099398/4.

LCM(291/400, 3778/6868) = 1099398/4

LCM of 291/400, 3778/6868

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 291/400,3778/6868

Given numbers are 291/400,3778/6868

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 291,3778

Least Common Multiple of Numerators i.e. LCM of 291,3778 is 1099398.

GCF of Denominators means GCF of 400,6868 as per the given fractions.

GCF of 400,6868 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 291,3778

LCM of Fractions 291/400,3778/6868 is 1099398/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 1099398

Least Common Multiple of 291,3778 with GCF Formula

Least Common Multiple of 291,3778 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 291,3778 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(291,3778) = 1

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

GCF(291,3778) x common factors =1 x 1 = 1

LCM(291,3778) = ( 291 × 3778 ) / 1

LCM(291,3778) = 1099398 / 1

LCM(291,3778) = 1099398


Lets's calculate GCF of 400,6868

2 400, 6868
2 200, 3434
100, 1717

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1099398/4

Therefore the LCM of Fractions 291/400,3778/6868 is 1099398/4

Greatest Common Factor of 400,6868 By Matching Biggest Common Factor Method

Greatest Common Factor of 400,6868 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 6868

List of positive integer factors of 6868 that divides 6868 without a remainder.

1,2,4,17,34,68,101,202,404,1717,3434,6868

Greatest Common Factor

We found the factors 400,6868 . The biggest common factor number is the GCF number.
So the greatest common factor 400,6868 is 4.


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 291/400, 3778/6868

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 291/400, 3778/6868?

Answer: LCM of Numerators as per given numbers 291/400, 3778/6868 is

LCM of Numerators i.e. for 291,3778 is 1099398

GCF of denominators i.e. for 400,6868 is 4.

Thus, LCM of Fractions is 1099398/4.Finally, LCM of Fractions for 291/400, 3778/6868 is 1099398/4.