Least Common Multiple of 7108/486, 2898/2684

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 7108/486, 2898/2684 quickly i.e. 5149746 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7108/486, 2898/2684 is 5149746.

LCM(7108/486, 2898/2684) = 5149746

LCM of 7108/486, 2898/2684

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 7108/486,2898/2684

Given numbers are 7108/486,2898/2684

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 7108,2898

Least Common Multiple of Numerators i.e. LCM of 7108,2898 is 10299492.

GCF of Denominators means GCF of 486,2684 as per the given fractions.

GCF of 486,2684 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7108,2898

LCM of Fractions 7108/486,2898/2684 is 5149746

2 7108, 2898
3554, 1449

∴ So the LCM of the given numbers is 2 x 3554 x 1449 = 10299492

Least Common Multiple of 7108,2898 with GCF Formula

Least Common Multiple of 7108,2898 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 7108,2898 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7108,2898) = 2

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

GCF(7108,2898) x common factors =2 x 1 = 2

LCM(7108,2898) = ( 7108 × 2898 ) / 2

LCM(7108,2898) = 20598984 / 2

LCM(7108,2898) = 10299492


Lets's calculate GCF of 486,2684

2 486, 2684
243, 1342

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10299492/2

Therefore the LCM of Fractions 7108/486,2898/2684 is 5149746

Greatest Common Factor of 486,2684 By Matching Biggest Common Factor Method

Greatest Common Factor of 486,2684 By Matching Biggest Common Factor Method

Factors of 486

List of positive integer factors of 486 that divides 486 without a remainder.

1,2,3,6,9,18,27,54,81,162,243,486

Factors of 2684

List of positive integer factors of 2684 that divides 2684 without a remainder.

1,2,4,11,22,44,61,122,244,671,1342,2684

Greatest Common Factor

We found the factors 486,2684 . The biggest common factor number is the GCF number.
So the greatest common factor 486,2684 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 7108/486, 2898/2684

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 7108/486, 2898/2684?

Answer: LCM of Numerators as per given numbers 7108/486, 2898/2684 is

LCM of Numerators i.e. for 7108,2898 is 10299492

GCF of denominators i.e. for 486,2684 is 2.

Thus, LCM of Fractions is 5149746.Finally, LCM of Fractions for 7108/486, 2898/2684 is 5149746.