Least Common Multiple of 400/28, 188/5621

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 400/28, 188/5621 quickly i.e. 18800/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 400/28, 188/5621 is 18800/7.

LCM(400/28, 188/5621) = 18800/7

LCM of 400/28, 188/5621

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 400/28,188/5621

Given numbers are 400/28,188/5621

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 400,188

Least Common Multiple of Numerators i.e. LCM of 400,188 is 18800.

GCF of Denominators means GCF of 28,5621 as per the given fractions.

GCF of 28,5621 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 400,188

LCM of Fractions 400/28,188/5621 is 18800/7

2 400, 188
2 200, 94
100, 47

∴ So the LCM of the given numbers is 2 x 2 x 100 x 47 = 18800

Least Common Multiple of 400,188 with GCF Formula

Least Common Multiple of 400,188 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 400,188 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(400,188) = 4

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

GCF(400,188) x common factors =4 x 1 = 4

LCM(400,188) = ( 400 × 188 ) / 4

LCM(400,188) = 75200 / 4

LCM(400,188) = 18800


Lets's calculate GCF of 28,5621

7 28, 5621
4, 803

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18800/7

Therefore the LCM of Fractions 400/28,188/5621 is 18800/7

Greatest Common Factor of 28,5621 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,5621 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 5621

List of positive integer factors of 5621 that divides 5621 without a remainder.

1,7,11,73,77,511,803,5621

Greatest Common Factor

We found the factors 28,5621 . The biggest common factor number is the GCF number.
So the greatest common factor 28,5621 is 7.


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 400/28, 188/5621

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 400/28, 188/5621?

Answer: LCM of Numerators as per given numbers 400/28, 188/5621 is

LCM of Numerators i.e. for 400,188 is 18800

GCF of denominators i.e. for 28,5621 is 7.

Thus, LCM of Fractions is 18800/7.Finally, LCM of Fractions for 400/28, 188/5621 is 18800/7.