Least Common Multiple of 606/87, 149/6021

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 606/87, 149/6021 quickly i.e. 30098 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 606/87, 149/6021 is 30098.

LCM(606/87, 149/6021) = 30098

LCM of 606/87, 149/6021

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 606/87,149/6021

Given numbers are 606/87,149/6021

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 606,149

Least Common Multiple of Numerators i.e. LCM of 606,149 is 90294.

GCF of Denominators means GCF of 87,6021 as per the given fractions.

GCF of 87,6021 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 606,149

LCM of Fractions 606/87,149/6021 is 30098

Given numbers has no common factors except 1. So, there LCM is their product i.e 90294

Least Common Multiple of 606,149 with GCF Formula

Least Common Multiple of 606,149 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 606,149 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(606,149) = 1

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

GCF(606,149) x common factors =1 x 1 = 1

LCM(606,149) = ( 606 × 149 ) / 1

LCM(606,149) = 90294 / 1

LCM(606,149) = 90294


Lets's calculate GCF of 87,6021

3 87, 6021
29, 2007

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 90294/3

Therefore the LCM of Fractions 606/87,149/6021 is 30098

Greatest Common Factor of 87,6021 By Matching Biggest Common Factor Method

Greatest Common Factor of 87,6021 By Matching Biggest Common Factor Method

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 6021

List of positive integer factors of 6021 that divides 6021 without a remainder.

1,3,9,27,223,669,2007,6021

Greatest Common Factor

We found the factors 87,6021 . The biggest common factor number is the GCF number.
So the greatest common factor 87,6021 is 3.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 606/87, 149/6021

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 606/87, 149/6021?

Answer: LCM of Numerators as per given numbers 606/87, 149/6021 is

LCM of Numerators i.e. for 606,149 is 90294

GCF of denominators i.e. for 87,6021 is 3.

Thus, LCM of Fractions is 30098.Finally, LCM of Fractions for 606/87, 149/6021 is 30098.