Least Common Multiple of 150/642, 3423/4659

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 150/642, 3423/4659 quickly i.e. 57050 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 150/642, 3423/4659 is 57050.

LCM(150/642, 3423/4659) = 57050

LCM of 150/642, 3423/4659

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 150/642,3423/4659

Given numbers are 150/642,3423/4659

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 150,3423

Least Common Multiple of Numerators i.e. LCM of 150,3423 is 171150.

GCF of Denominators means GCF of 642,4659 as per the given fractions.

GCF of 642,4659 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 150,3423

LCM of Fractions 150/642,3423/4659 is 57050

3 150, 3423
50, 1141

∴ So the LCM of the given numbers is 3 x 50 x 1141 = 171150

Least Common Multiple of 150,3423 with GCF Formula

Least Common Multiple of 150,3423 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 150,3423 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(150,3423) = 3

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

GCF(150,3423) x common factors =3 x 1 = 3

LCM(150,3423) = ( 150 × 3423 ) / 3

LCM(150,3423) = 513450 / 3

LCM(150,3423) = 171150


Lets's calculate GCF of 642,4659

3 642, 4659
214, 1553

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 171150/3

Therefore the LCM of Fractions 150/642,3423/4659 is 57050

Greatest Common Factor of 642,4659 By Matching Biggest Common Factor Method

Greatest Common Factor of 642,4659 By Matching Biggest Common Factor Method

Factors of 642

List of positive integer factors of 642 that divides 642 without a remainder.

1,2,3,6,107,214,321,642

Factors of 4659

List of positive integer factors of 4659 that divides 4659 without a remainder.

1,3,1553,4659

Greatest Common Factor

We found the factors 642,4659 . The biggest common factor number is the GCF number.
So the greatest common factor 642,4659 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 150/642, 3423/4659

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 150/642, 3423/4659?

Answer: LCM of Numerators as per given numbers 150/642, 3423/4659 is

LCM of Numerators i.e. for 150,3423 is 171150

GCF of denominators i.e. for 642,4659 is 3.

Thus, LCM of Fractions is 57050.Finally, LCM of Fractions for 150/642, 3423/4659 is 57050.