Least Common Multiple of 2622/639, 1842/987

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 2622/639, 1842/987 quickly i.e. 268318 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2622/639, 1842/987 is 268318.

LCM(2622/639, 1842/987) = 268318

LCM of 2622/639, 1842/987

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 2622/639,1842/987

Given numbers are 2622/639,1842/987

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 2622,1842

Least Common Multiple of Numerators i.e. LCM of 2622,1842 is 804954.

GCF of Denominators means GCF of 639,987 as per the given fractions.

GCF of 639,987 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2622,1842

LCM of Fractions 2622/639,1842/987 is 268318

2 2622, 1842
3 1311, 921
437, 307

∴ So the LCM of the given numbers is 2 x 3 x 437 x 307 = 804954

Least Common Multiple of 2622,1842 with GCF Formula

Least Common Multiple of 2622,1842 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 2622,1842 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2622,1842) = 6

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

GCF(2622,1842) x common factors =6 x 1 = 6

LCM(2622,1842) = ( 2622 × 1842 ) / 6

LCM(2622,1842) = 4829724 / 6

LCM(2622,1842) = 804954


Lets's calculate GCF of 639,987

3 639, 987
213, 329

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 804954/3

Therefore the LCM of Fractions 2622/639,1842/987 is 268318

Greatest Common Factor of 639,987 By Matching Biggest Common Factor Method

Greatest Common Factor of 639,987 By Matching Biggest Common Factor Method

Factors of 639

List of positive integer factors of 639 that divides 639 without a remainder.

1,3,9,71,213,639

Factors of 987

List of positive integer factors of 987 that divides 987 without a remainder.

1,3,7,21,47,141,329,987

Greatest Common Factor

We found the factors 639,987 . The biggest common factor number is the GCF number.
So the greatest common factor 639,987 is 3.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 2622/639, 1842/987

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 2622/639, 1842/987?

Answer: LCM of Numerators as per given numbers 2622/639, 1842/987 is

LCM of Numerators i.e. for 2622,1842 is 804954

GCF of denominators i.e. for 639,987 is 3.

Thus, LCM of Fractions is 268318.Finally, LCM of Fractions for 2622/639, 1842/987 is 268318.