Least Common Multiple of 361/28, 200/4007

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 361/28, 200/4007 quickly i.e. 72200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 361/28, 200/4007 is 72200.

LCM(361/28, 200/4007) = 72200

LCM of 361/28, 200/4007

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 361/28,200/4007

Given numbers are 361/28,200/4007

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 361,200

Least Common Multiple of Numerators i.e. LCM of 361,200 is 72200.

GCF of Denominators means GCF of 28,4007 as per the given fractions.

GCF of 28,4007 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 361,200

LCM of Fractions 361/28,200/4007 is 72200

Given numbers has no common factors except 1. So, there LCM is their product i.e 72200

Least Common Multiple of 361,200 with GCF Formula

Least Common Multiple of 361,200 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 361,200 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(361,200) = 1

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

GCF(361,200) x common factors =1 x 1 = 1

LCM(361,200) = ( 361 × 200 ) / 1

LCM(361,200) = 72200 / 1

LCM(361,200) = 72200


Lets's calculate GCF of 28,4007

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 72200/1

Therefore the LCM of Fractions 361/28,200/4007 is 72200

Greatest Common Factor of 28,4007 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,4007 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 4007

List of positive integer factors of 4007 that divides 4007 without a remainder.

1,4007

Greatest Common Factor

We found the factors 28,4007 . The biggest common factor number is the GCF number.
So the greatest common factor 28,4007 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 361/28, 200/4007

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 361/28, 200/4007?

Answer: LCM of Numerators as per given numbers 361/28, 200/4007 is

LCM of Numerators i.e. for 361,200 is 72200

GCF of denominators i.e. for 28,4007 is 1.

Thus, LCM of Fractions is 72200.Finally, LCM of Fractions for 361/28, 200/4007 is 72200.