Least Common Multiple of 5215/459, 1615/3362

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 5215/459, 1615/3362 quickly i.e. 1684445 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5215/459, 1615/3362 is 1684445.

LCM(5215/459, 1615/3362) = 1684445

LCM of 5215/459, 1615/3362

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 5215/459,1615/3362

Given numbers are 5215/459,1615/3362

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 5215,1615

Least Common Multiple of Numerators i.e. LCM of 5215,1615 is 1684445.

GCF of Denominators means GCF of 459,3362 as per the given fractions.

GCF of 459,3362 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5215,1615

LCM of Fractions 5215/459,1615/3362 is 1684445

5 5215, 1615
1043, 323

∴ So the LCM of the given numbers is 5 x 1043 x 323 = 1684445

Least Common Multiple of 5215,1615 with GCF Formula

Least Common Multiple of 5215,1615 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 5215,1615 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5215,1615) = 5

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

GCF(5215,1615) x common factors =5 x 1 = 5

LCM(5215,1615) = ( 5215 × 1615 ) / 5

LCM(5215,1615) = 8422225 / 5

LCM(5215,1615) = 1684445


Lets's calculate GCF of 459,3362

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1684445/1

Therefore the LCM of Fractions 5215/459,1615/3362 is 1684445

Greatest Common Factor of 459,3362 By Matching Biggest Common Factor Method

Greatest Common Factor of 459,3362 By Matching Biggest Common Factor Method

Factors of 459

List of positive integer factors of 459 that divides 459 without a remainder.

1,3,9,17,27,51,153,459

Factors of 3362

List of positive integer factors of 3362 that divides 3362 without a remainder.

1,2,41,82,1681,3362

Greatest Common Factor

We found the factors 459,3362 . The biggest common factor number is the GCF number.
So the greatest common factor 459,3362 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 5215/459, 1615/3362

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 5215/459, 1615/3362?

Answer: LCM of Numerators as per given numbers 5215/459, 1615/3362 is

LCM of Numerators i.e. for 5215,1615 is 1684445

GCF of denominators i.e. for 459,3362 is 1.

Thus, LCM of Fractions is 1684445.Finally, LCM of Fractions for 5215/459, 1615/3362 is 1684445.