Least Common Multiple of 342/459, 2090/1612

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 342/459, 2090/1612 quickly i.e. 18810 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 342/459, 2090/1612 is 18810.

LCM(342/459, 2090/1612) = 18810

LCM of 342/459, 2090/1612

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 342/459,2090/1612

Given numbers are 342/459,2090/1612

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 342,2090

Least Common Multiple of Numerators i.e. LCM of 342,2090 is 18810.

GCF of Denominators means GCF of 459,1612 as per the given fractions.

GCF of 459,1612 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 342,2090

LCM of Fractions 342/459,2090/1612 is 18810

2 342, 2090
19 171, 1045
9, 55

∴ So the LCM of the given numbers is 2 x 19 x 9 x 55 = 18810

Least Common Multiple of 342,2090 with GCF Formula

Least Common Multiple of 342,2090 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 342,2090 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(342,2090) = 38

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

GCF(342,2090) x common factors =38 x 1 = 38

LCM(342,2090) = ( 342 × 2090 ) / 38

LCM(342,2090) = 714780 / 38

LCM(342,2090) = 18810


Lets's calculate GCF of 459,1612

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18810/1

Therefore the LCM of Fractions 342/459,2090/1612 is 18810

Greatest Common Factor of 459,1612 By Matching Biggest Common Factor Method

Greatest Common Factor of 459,1612 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 1612

List of positive integer factors of 1612 that divides 1612 without a remainder.

1,2,4,13,26,31,52,62,124,403,806,1612

Greatest Common Factor

We found the factors 459,1612 . The biggest common factor number is the GCF number.
So the greatest common factor 459,1612 is 1.


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 342/459, 2090/1612

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 342/459, 2090/1612?

Answer: LCM of Numerators as per given numbers 342/459, 2090/1612 is

LCM of Numerators i.e. for 342,2090 is 18810

GCF of denominators i.e. for 459,1612 is 1.

Thus, LCM of Fractions is 18810.Finally, LCM of Fractions for 342/459, 2090/1612 is 18810.