Least Common Multiple of 3082/290, 2694/1556

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 3082/290, 2694/1556 quickly i.e. 2075727 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3082/290, 2694/1556 is 2075727.

LCM(3082/290, 2694/1556) = 2075727

LCM of 3082/290, 2694/1556

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 3082/290,2694/1556

Given numbers are 3082/290,2694/1556

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 3082,2694

Least Common Multiple of Numerators i.e. LCM of 3082,2694 is 4151454.

GCF of Denominators means GCF of 290,1556 as per the given fractions.

GCF of 290,1556 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3082,2694

LCM of Fractions 3082/290,2694/1556 is 2075727

2 3082, 2694
1541, 1347

∴ So the LCM of the given numbers is 2 x 1541 x 1347 = 4151454

Least Common Multiple of 3082,2694 with GCF Formula

Least Common Multiple of 3082,2694 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 3082,2694 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3082,2694) = 2

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

GCF(3082,2694) x common factors =2 x 1 = 2

LCM(3082,2694) = ( 3082 × 2694 ) / 2

LCM(3082,2694) = 8302908 / 2

LCM(3082,2694) = 4151454


Lets's calculate GCF of 290,1556

2 290, 1556
145, 778

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4151454/2

Therefore the LCM of Fractions 3082/290,2694/1556 is 2075727

Greatest Common Factor of 290,1556 By Matching Biggest Common Factor Method

Greatest Common Factor of 290,1556 By Matching Biggest Common Factor Method

Factors of 290

List of positive integer factors of 290 that divides 290 without a remainder.

1,2,5,10,29,58,145,290

Factors of 1556

List of positive integer factors of 1556 that divides 1556 without a remainder.

1,2,4,389,778,1556

Greatest Common Factor

We found the factors 290,1556 . The biggest common factor number is the GCF number.
So the greatest common factor 290,1556 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 3082/290, 2694/1556

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 3082/290, 2694/1556?

Answer: LCM of Numerators as per given numbers 3082/290, 2694/1556 is

LCM of Numerators i.e. for 3082,2694 is 4151454

GCF of denominators i.e. for 290,1556 is 2.

Thus, LCM of Fractions is 2075727.Finally, LCM of Fractions for 3082/290, 2694/1556 is 2075727.