Least Common Multiple of 27/832, 200/805, 600/426

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 27/832, 200/805, 600/426 quickly i.e. 5400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 27/832, 200/805, 600/426 is 5400.

LCM(27/832, 200/805, 600/426) = 5400

LCM of 27/832, 200/805, 600/426

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 27/832,200/805,600/426

Given numbers are 27/832,200/805,600/426

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 27,200,600

Least Common Multiple of Numerators i.e. LCM of 27,200,600 is 5400.

GCF of Denominators means GCF of 832,805,426 as per the given fractions.

GCF of 832,805,426 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 27,200,600

LCM of Fractions 27/832,200/805,600/426 is 5400

2 27, 200, 600
2 27, 100, 300
2 27, 50, 150
3 27, 25, 75
5 9, 25, 25
5 9, 5, 5
9, 1, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 5 x 5 x 9 x 1 x 1 = 5400

Least Common Multiple of 27,200,600 with GCF Formula

Least Common Multiple of 27,200,600 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 27,200,600 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,200,600) = 1

common factors(in case of two or more numbers have common factors) = 600

GCF(27,200,600) x common factors =1 x 600 = 600

LCM(27,200,600) = ( 27 × 200 × 600 ) / 600

LCM(27,200,600) = 3240000 / 600

LCM(27,200,600) = 5400


Lets's calculate GCF of 832,805,426

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5400/1

Therefore the LCM of Fractions 27/832,200/805,600/426 is 5400

Greatest Common Factor of 832,805,426 By Matching Biggest Common Factor Method

Greatest Common Factor of 832,805,426 By Matching Biggest Common Factor Method

Factors of 832

List of positive integer factors of 832 that divides 832 without a remainder.

1,2,4,8,13,16,26,32,52,64,104,208,416,832

Factors of 805

List of positive integer factors of 805 that divides 805 without a remainder.

1,5,7,23,35,115,161,805

Factors of 426

List of positive integer factors of 426 that divides 426 without a remainder.

1,2,3,6,71,142,213,426

Greatest Common Factor

We found the factors 832,805,426 . The biggest common factor number is the GCF number.
So the greatest common factor 832,805,426 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 27/832, 200/805, 600/426

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 27/832, 200/805, 600/426?

Answer: LCM of Numerators as per given numbers 27/832, 200/805, 600/426 is

LCM of Numerators i.e. for 27,200,600 is 5400

GCF of denominators i.e. for 832,805,426 is 1.

Thus, LCM of Fractions is 5400.Finally, LCM of Fractions for 27/832, 200/805, 600/426 is 5400.