Least Common Multiple of 280/20, 400/40, 367/181

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 280/20, 400/40, 367/181 quickly i.e. 1027600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 280/20, 400/40, 367/181 is 1027600.

LCM(280/20, 400/40, 367/181) = 1027600

LCM of 280/20, 400/40, 367/181

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 280/20,400/40,367/181

Given numbers are 280/20,400/40,367/181

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 280,400,367

Least Common Multiple of Numerators i.e. LCM of 280,400,367 is 1027600.

GCF of Denominators means GCF of 20,40,181 as per the given fractions.

GCF of 20,40,181 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 280,400,367

LCM of Fractions 280/20,400/40,367/181 is 1027600

2 280, 400, 367
2 140, 200, 367
2 70, 100, 367
5 35, 50, 367
7, 10, 367

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 7 x 10 x 367 = 1027600

Least Common Multiple of 280,400,367 with GCF Formula

Least Common Multiple of 280,400,367 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 280,400,367 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(280,400,367) = 1

common factors(in case of two or more numbers have common factors) = 40

GCF(280,400,367) x common factors =1 x 40 = 40

LCM(280,400,367) = ( 280 × 400 × 367 ) / 40

LCM(280,400,367) = 41104000 / 40

LCM(280,400,367) = 1027600


Lets's calculate GCF of 20,40,181

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1027600/1

Therefore the LCM of Fractions 280/20,400/40,367/181 is 1027600

Greatest Common Factor of 20,40,181 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,40,181 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 181

List of positive integer factors of 181 that divides 181 without a remainder.

1,181

Greatest Common Factor

We found the factors 20,40,181 . The biggest common factor number is the GCF number.
So the greatest common factor 20,40,181 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 280/20, 400/40, 367/181

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 280/20, 400/40, 367/181?

Answer: LCM of Numerators as per given numbers 280/20, 400/40, 367/181 is

LCM of Numerators i.e. for 280,400,367 is 1027600

GCF of denominators i.e. for 20,40,181 is 1.

Thus, LCM of Fractions is 1027600.Finally, LCM of Fractions for 280/20, 400/40, 367/181 is 1027600.