Least Common Multiple of 460/36, 427/3639

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 460/36, 427/3639 quickly i.e. 196420/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 460/36, 427/3639 is 196420/3.

LCM(460/36, 427/3639) = 196420/3

LCM of 460/36, 427/3639

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 460/36,427/3639

Given numbers are 460/36,427/3639

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 460,427

Least Common Multiple of Numerators i.e. LCM of 460,427 is 196420.

GCF of Denominators means GCF of 36,3639 as per the given fractions.

GCF of 36,3639 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 460,427

LCM of Fractions 460/36,427/3639 is 196420/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 196420

Least Common Multiple of 460,427 with GCF Formula

Least Common Multiple of 460,427 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 460,427 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(460,427) = 1

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

GCF(460,427) x common factors =1 x 1 = 1

LCM(460,427) = ( 460 × 427 ) / 1

LCM(460,427) = 196420 / 1

LCM(460,427) = 196420


Lets's calculate GCF of 36,3639

3 36, 3639
12, 1213

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 196420/3

Therefore the LCM of Fractions 460/36,427/3639 is 196420/3

Greatest Common Factor of 36,3639 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,3639 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 3639

List of positive integer factors of 3639 that divides 3639 without a remainder.

1,3,1213,3639

Greatest Common Factor

We found the factors 36,3639 . The biggest common factor number is the GCF number.
So the greatest common factor 36,3639 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 460/36, 427/3639

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 460/36, 427/3639?

Answer: LCM of Numerators as per given numbers 460/36, 427/3639 is

LCM of Numerators i.e. for 460,427 is 196420

GCF of denominators i.e. for 36,3639 is 3.

Thus, LCM of Fractions is 196420/3.Finally, LCM of Fractions for 460/36, 427/3639 is 196420/3.