Least Common Multiple of 840/142, 906/233, 582/731

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 840/142, 906/233, 582/731 quickly i.e. 12303480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 840/142, 906/233, 582/731 is 12303480.

LCM(840/142, 906/233, 582/731) = 12303480

LCM of 840/142, 906/233, 582/731

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 840/142,906/233,582/731

Given numbers are 840/142,906/233,582/731

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 840,906,582

Least Common Multiple of Numerators i.e. LCM of 840,906,582 is 12303480.

GCF of Denominators means GCF of 142,233,731 as per the given fractions.

GCF of 142,233,731 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 840,906,582

LCM of Fractions 840/142,906/233,582/731 is 12303480

2 840, 906, 582
3 420, 453, 291
140, 151, 97

∴ So the LCM of the given numbers is 2 x 3 x 140 x 151 x 97 = 12303480

Least Common Multiple of 840,906,582 with GCF Formula

Least Common Multiple of 840,906,582 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 840,906,582 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(840,906,582) = 6

common factors(in case of two or more numbers have common factors) = 6

GCF(840,906,582) x common factors =6 x 6 = 36

LCM(840,906,582) = ( 840 × 906 × 582 ) / 36

LCM(840,906,582) = 442925280 / 36

LCM(840,906,582) = 12303480


Lets's calculate GCF of 142,233,731

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12303480/1

Therefore the LCM of Fractions 840/142,906/233,582/731 is 12303480

Greatest Common Factor of 142,233,731 By Matching Biggest Common Factor Method

Greatest Common Factor of 142,233,731 By Matching Biggest Common Factor Method

Factors of 142

List of positive integer factors of 142 that divides 142 without a remainder.

1,2,71,142

Factors of 233

List of positive integer factors of 233 that divides 233 without a remainder.

1,233

Factors of 731

List of positive integer factors of 731 that divides 731 without a remainder.

1,17,43,731

Greatest Common Factor

We found the factors 142,233,731 . The biggest common factor number is the GCF number.
So the greatest common factor 142,233,731 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 840/142, 906/233, 582/731

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 840/142, 906/233, 582/731?

Answer: LCM of Numerators as per given numbers 840/142, 906/233, 582/731 is

LCM of Numerators i.e. for 840,906,582 is 12303480

GCF of denominators i.e. for 142,233,731 is 1.

Thus, LCM of Fractions is 12303480.Finally, LCM of Fractions for 840/142, 906/233, 582/731 is 12303480.