Least Common Multiple of 840/474, 587/642, 667/226

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 840/474, 587/642, 667/226 quickly i.e. 164442180 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 840/474, 587/642, 667/226 is 164442180.

LCM(840/474, 587/642, 667/226) = 164442180

LCM of 840/474, 587/642, 667/226

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 840/474,587/642,667/226

Given numbers are 840/474,587/642,667/226

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 840,587,667

Least Common Multiple of Numerators i.e. LCM of 840,587,667 is 328884360.

GCF of Denominators means GCF of 474,642,226 as per the given fractions.

GCF of 474,642,226 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 840,587,667

LCM of Fractions 840/474,587/642,667/226 is 164442180

Given numbers has no common factors except 1. So, there LCM is their product i.e 328884360

Least Common Multiple of 840,587,667 with GCF Formula

Least Common Multiple of 840,587,667 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 840,587,667 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(840,587,667) = 1

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

GCF(840,587,667) x common factors =1 x 1 = 1

LCM(840,587,667) = ( 840 × 587 × 667 ) / 1

LCM(840,587,667) = 328884360 / 1

LCM(840,587,667) = 328884360


Lets's calculate GCF of 474,642,226

2 474, 642, 226
237, 321, 113

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 328884360/2

Therefore the LCM of Fractions 840/474,587/642,667/226 is 164442180

Greatest Common Factor of 474,642,226 By Matching Biggest Common Factor Method

Greatest Common Factor of 474,642,226 By Matching Biggest Common Factor Method

Factors of 474

List of positive integer factors of 474 that divides 474 without a remainder.

1,2,3,6,79,158,237,474

Factors of 642

List of positive integer factors of 642 that divides 642 without a remainder.

1,2,3,6,107,214,321,642

Factors of 226

List of positive integer factors of 226 that divides 226 without a remainder.

1,2,113,226

Greatest Common Factor

We found the factors 474,642,226 . The biggest common factor number is the GCF number.
So the greatest common factor 474,642,226 is 2.


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 840/474, 587/642, 667/226

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 840/474, 587/642, 667/226?

Answer: LCM of Numerators as per given numbers 840/474, 587/642, 667/226 is

LCM of Numerators i.e. for 840,587,667 is 328884360

GCF of denominators i.e. for 474,642,226 is 2.

Thus, LCM of Fractions is 164442180.Finally, LCM of Fractions for 840/474, 587/642, 667/226 is 164442180.