Least Common Multiple of 581/21, 842/2142

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 581/21, 842/2142 quickly i.e. 489202/21 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 581/21, 842/2142 is 489202/21.

LCM(581/21, 842/2142) = 489202/21

LCM of 581/21, 842/2142

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 581/21,842/2142

Given numbers are 581/21,842/2142

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 581,842

Least Common Multiple of Numerators i.e. LCM of 581,842 is 489202.

GCF of Denominators means GCF of 21,2142 as per the given fractions.

GCF of 21,2142 is 21 as it is the largest common factor for these numbers.

Lets's calculate LCM of 581,842

LCM of Fractions 581/21,842/2142 is 489202/21

Given numbers has no common factors except 1. So, there LCM is their product i.e 489202

Least Common Multiple of 581,842 with GCF Formula

Least Common Multiple of 581,842 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 581,842 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(581,842) = 1

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

GCF(581,842) x common factors =1 x 1 = 1

LCM(581,842) = ( 581 × 842 ) / 1

LCM(581,842) = 489202 / 1

LCM(581,842) = 489202


Lets's calculate GCF of 21,2142

3 21, 2142
7 7, 714
1, 102

∴ So the GCF of the given numbers is 3 x 7 = 21

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 489202/21

Therefore the LCM of Fractions 581/21,842/2142 is 489202/21

Greatest Common Factor of 21,2142 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,2142 By Matching Biggest Common Factor Method

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 2142

List of positive integer factors of 2142 that divides 2142 without a remainder.

1,2,3,6,7,9,14,17,18,21,34,42,51,63,102,119,126,153,238,306,357,714,1071,2142

Greatest Common Factor

We found the factors 21,2142 . The biggest common factor number is the GCF number.
So the greatest common factor 21,2142 is 21.


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 581/21, 842/2142

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 581/21, 842/2142?

Answer: LCM of Numerators as per given numbers 581/21, 842/2142 is

LCM of Numerators i.e. for 581,842 is 489202

GCF of denominators i.e. for 21,2142 is 21.

Thus, LCM of Fractions is 489202/21.Finally, LCM of Fractions for 581/21, 842/2142 is 489202/21.