Least Common Multiple of 3009/180, 6772/400

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3009/180, 6772/400 quickly i.e. 20376948/20 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3009/180, 6772/400 is 20376948/20.

LCM(3009/180, 6772/400) = 20376948/20

LCM of 3009/180, 6772/400

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 3009/180,6772/400

Given numbers are 3009/180,6772/400

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 3009,6772

Least Common Multiple of Numerators i.e. LCM of 3009,6772 is 20376948.

GCF of Denominators means GCF of 180,400 as per the given fractions.

GCF of 180,400 is 20 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3009,6772

LCM of Fractions 3009/180,6772/400 is 20376948/20

Given numbers has no common factors except 1. So, there LCM is their product i.e 20376948

Least Common Multiple of 3009,6772 with GCF Formula

Least Common Multiple of 3009,6772 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 3009,6772 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3009,6772) = 1

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

GCF(3009,6772) x common factors =1 x 1 = 1

LCM(3009,6772) = ( 3009 × 6772 ) / 1

LCM(3009,6772) = 20376948 / 1

LCM(3009,6772) = 20376948


Lets's calculate GCF of 180,400

2 180, 400
2 90, 200
5 45, 100
9, 20

∴ So the GCF of the given numbers is 2 x 2 x 5 = 20

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20376948/20

Therefore the LCM of Fractions 3009/180,6772/400 is 20376948/20

Greatest Common Factor of 180,400 By Matching Biggest Common Factor Method

Greatest Common Factor of 180,400 By Matching Biggest Common Factor Method

Factors of 180

List of positive integer factors of 180 that divides 180 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,60,90,180

Factors of 400

List of positive integer factors of 400 that divides 400 without a remainder.

1,2,4,5,8,10,16,20,25,40,50,80,100,200,400

Greatest Common Factor

We found the factors 180,400 . The biggest common factor number is the GCF number.
So the greatest common factor 180,400 is 20.


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 3009/180, 6772/400

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 3009/180, 6772/400?

Answer: LCM of Numerators as per given numbers 3009/180, 6772/400 is

LCM of Numerators i.e. for 3009,6772 is 20376948

GCF of denominators i.e. for 180,400 is 20.

Thus, LCM of Fractions is 20376948/20.Finally, LCM of Fractions for 3009/180, 6772/400 is 20376948/20.