Least Common Multiple of 31/895, 3300/4365

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/895, 3300/4365 quickly i.e. 20460 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/895, 3300/4365 is 20460.

LCM(31/895, 3300/4365) = 20460

LCM of 31/895, 3300/4365

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 31/895,3300/4365

Given numbers are 31/895,3300/4365

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 31,3300

Least Common Multiple of Numerators i.e. LCM of 31,3300 is 102300.

GCF of Denominators means GCF of 895,4365 as per the given fractions.

GCF of 895,4365 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,3300

LCM of Fractions 31/895,3300/4365 is 20460

Given numbers has no common factors except 1. So, there LCM is their product i.e 102300

Least Common Multiple of 31,3300 with GCF Formula

Least Common Multiple of 31,3300 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 31,3300 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,3300) = 1

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

GCF(31,3300) x common factors =1 x 1 = 1

LCM(31,3300) = ( 31 × 3300 ) / 1

LCM(31,3300) = 102300 / 1

LCM(31,3300) = 102300


Lets's calculate GCF of 895,4365

5 895, 4365
179, 873

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 102300/5

Therefore the LCM of Fractions 31/895,3300/4365 is 20460

Greatest Common Factor of 895,4365 By Matching Biggest Common Factor Method

Greatest Common Factor of 895,4365 By Matching Biggest Common Factor Method

Factors of 895

List of positive integer factors of 895 that divides 895 without a remainder.

1,5,179,895

Factors of 4365

List of positive integer factors of 4365 that divides 4365 without a remainder.

1,3,5,9,15,45,97,291,485,873,1455,4365

Greatest Common Factor

We found the factors 895,4365 . The biggest common factor number is the GCF number.
So the greatest common factor 895,4365 is 5.


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 31/895, 3300/4365

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 31/895, 3300/4365?

Answer: LCM of Numerators as per given numbers 31/895, 3300/4365 is

LCM of Numerators i.e. for 31,3300 is 102300

GCF of denominators i.e. for 895,4365 is 5.

Thus, LCM of Fractions is 20460.Finally, LCM of Fractions for 31/895, 3300/4365 is 20460.