Least Common Multiple of 400/376, 2176/3084

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 400/376, 2176/3084 quickly i.e. 13600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 400/376, 2176/3084 is 13600.

LCM(400/376, 2176/3084) = 13600

LCM of 400/376, 2176/3084

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 400/376,2176/3084

Given numbers are 400/376,2176/3084

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 400,2176

Least Common Multiple of Numerators i.e. LCM of 400,2176 is 54400.

GCF of Denominators means GCF of 376,3084 as per the given fractions.

GCF of 376,3084 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 400,2176

LCM of Fractions 400/376,2176/3084 is 13600

2 400, 2176
2 200, 1088
2 100, 544
2 50, 272
25, 136

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 25 x 136 = 54400

Least Common Multiple of 400,2176 with GCF Formula

Least Common Multiple of 400,2176 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 400,2176 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(400,2176) = 16

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

GCF(400,2176) x common factors =16 x 1 = 16

LCM(400,2176) = ( 400 × 2176 ) / 16

LCM(400,2176) = 870400 / 16

LCM(400,2176) = 54400


Lets's calculate GCF of 376,3084

2 376, 3084
2 188, 1542
94, 771

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 54400/4

Therefore the LCM of Fractions 400/376,2176/3084 is 13600

Greatest Common Factor of 376,3084 By Matching Biggest Common Factor Method

Greatest Common Factor of 376,3084 By Matching Biggest Common Factor Method

Factors of 376

List of positive integer factors of 376 that divides 376 without a remainder.

1,2,4,8,47,94,188,376

Factors of 3084

List of positive integer factors of 3084 that divides 3084 without a remainder.

1,2,3,4,6,12,257,514,771,1028,1542,3084

Greatest Common Factor

We found the factors 376,3084 . The biggest common factor number is the GCF number.
So the greatest common factor 376,3084 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 400/376, 2176/3084

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 400/376, 2176/3084?

Answer: LCM of Numerators as per given numbers 400/376, 2176/3084 is

LCM of Numerators i.e. for 400,2176 is 54400

GCF of denominators i.e. for 376,3084 is 4.

Thus, LCM of Fractions is 13600.Finally, LCM of Fractions for 400/376, 2176/3084 is 13600.