Least Common Multiple of 400/87, 224/1416

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 400/87, 224/1416 quickly i.e. 5600/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 400/87, 224/1416 is 5600/3.

LCM(400/87, 224/1416) = 5600/3

LCM of 400/87, 224/1416

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 400/87,224/1416

Given numbers are 400/87,224/1416

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 400,224

Least Common Multiple of Numerators i.e. LCM of 400,224 is 5600.

GCF of Denominators means GCF of 87,1416 as per the given fractions.

GCF of 87,1416 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 400,224

LCM of Fractions 400/87,224/1416 is 5600/3

2 400, 224
2 200, 112
2 100, 56
2 50, 28
25, 14

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 25 x 14 = 5600

Least Common Multiple of 400,224 with GCF Formula

Least Common Multiple of 400,224 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 400,224 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(400,224) = 16

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

GCF(400,224) x common factors =16 x 1 = 16

LCM(400,224) = ( 400 × 224 ) / 16

LCM(400,224) = 89600 / 16

LCM(400,224) = 5600


Lets's calculate GCF of 87,1416

3 87, 1416
29, 472

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5600/3

Therefore the LCM of Fractions 400/87,224/1416 is 5600/3

Greatest Common Factor of 87,1416 By Matching Biggest Common Factor Method

Greatest Common Factor of 87,1416 By Matching Biggest Common Factor Method

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 1416

List of positive integer factors of 1416 that divides 1416 without a remainder.

1,2,3,4,6,8,12,24,59,118,177,236,354,472,708,1416

Greatest Common Factor

We found the factors 87,1416 . The biggest common factor number is the GCF number.
So the greatest common factor 87,1416 is 3.


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 400/87, 224/1416

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 400/87, 224/1416?

Answer: LCM of Numerators as per given numbers 400/87, 224/1416 is

LCM of Numerators i.e. for 400,224 is 5600

GCF of denominators i.e. for 87,1416 is 3.

Thus, LCM of Fractions is 5600/3.Finally, LCM of Fractions for 400/87, 224/1416 is 5600/3.