Least Common Multiple of 400/22, 823/85, 784/655

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 400/22, 823/85, 784/655 quickly i.e. 16130800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 400/22, 823/85, 784/655 is 16130800.

LCM(400/22, 823/85, 784/655) = 16130800

LCM of 400/22, 823/85, 784/655

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 400/22,823/85,784/655

Given numbers are 400/22,823/85,784/655

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 400,823,784

Least Common Multiple of Numerators i.e. LCM of 400,823,784 is 16130800.

GCF of Denominators means GCF of 22,85,655 as per the given fractions.

GCF of 22,85,655 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 400,823,784

LCM of Fractions 400/22,823/85,784/655 is 16130800

2 400, 823, 784
2 200, 823, 392
2 100, 823, 196
2 50, 823, 98
25, 823, 49

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 25 x 823 x 49 = 16130800

Least Common Multiple of 400,823,784 with GCF Formula

Least Common Multiple of 400,823,784 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 400,823,784 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(400,823,784) = 1

common factors(in case of two or more numbers have common factors) = 16

GCF(400,823,784) x common factors =1 x 16 = 16

LCM(400,823,784) = ( 400 × 823 × 784 ) / 16

LCM(400,823,784) = 258092800 / 16

LCM(400,823,784) = 16130800


Lets's calculate GCF of 22,85,655

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16130800/1

Therefore the LCM of Fractions 400/22,823/85,784/655 is 16130800

Greatest Common Factor of 22,85,655 By Matching Biggest Common Factor Method

Greatest Common Factor of 22,85,655 By Matching Biggest Common Factor Method

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 655

List of positive integer factors of 655 that divides 655 without a remainder.

1,5,131,655

Greatest Common Factor

We found the factors 22,85,655 . The biggest common factor number is the GCF number.
So the greatest common factor 22,85,655 is 1.


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 400/22, 823/85, 784/655

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 400/22, 823/85, 784/655?

Answer: LCM of Numerators as per given numbers 400/22, 823/85, 784/655 is

LCM of Numerators i.e. for 400,823,784 is 16130800

GCF of denominators i.e. for 22,85,655 is 1.

Thus, LCM of Fractions is 16130800.Finally, LCM of Fractions for 400/22, 823/85, 784/655 is 16130800.