Least Common Multiple of 4202/621, 2119/1659

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4202/621, 2119/1659 quickly i.e. 8904038/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4202/621, 2119/1659 is 8904038/3.

LCM(4202/621, 2119/1659) = 8904038/3

LCM of 4202/621, 2119/1659

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 4202/621,2119/1659

Given numbers are 4202/621,2119/1659

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 4202,2119

Least Common Multiple of Numerators i.e. LCM of 4202,2119 is 8904038.

GCF of Denominators means GCF of 621,1659 as per the given fractions.

GCF of 621,1659 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4202,2119

LCM of Fractions 4202/621,2119/1659 is 8904038/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 8904038

Least Common Multiple of 4202,2119 with GCF Formula

Least Common Multiple of 4202,2119 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 4202,2119 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4202,2119) = 1

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

GCF(4202,2119) x common factors =1 x 1 = 1

LCM(4202,2119) = ( 4202 × 2119 ) / 1

LCM(4202,2119) = 8904038 / 1

LCM(4202,2119) = 8904038


Lets's calculate GCF of 621,1659

3 621, 1659
207, 553

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8904038/3

Therefore the LCM of Fractions 4202/621,2119/1659 is 8904038/3

Greatest Common Factor of 621,1659 By Matching Biggest Common Factor Method

Greatest Common Factor of 621,1659 By Matching Biggest Common Factor Method

Factors of 621

List of positive integer factors of 621 that divides 621 without a remainder.

1,3,9,23,27,69,207,621

Factors of 1659

List of positive integer factors of 1659 that divides 1659 without a remainder.

1,3,7,21,79,237,553,1659

Greatest Common Factor

We found the factors 621,1659 . The biggest common factor number is the GCF number.
So the greatest common factor 621,1659 is 3.


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 4202/621, 2119/1659

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 4202/621, 2119/1659?

Answer: LCM of Numerators as per given numbers 4202/621, 2119/1659 is

LCM of Numerators i.e. for 4202,2119 is 8904038

GCF of denominators i.e. for 621,1659 is 3.

Thus, LCM of Fractions is 8904038/3.Finally, LCM of Fractions for 4202/621, 2119/1659 is 8904038/3.