Least Common Multiple of 315/895, 6865/4641

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 315/895, 6865/4641 quickly i.e. 432495 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 315/895, 6865/4641 is 432495.

LCM(315/895, 6865/4641) = 432495

LCM of 315/895, 6865/4641

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 315/895,6865/4641

Given numbers are 315/895,6865/4641

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 315,6865

Least Common Multiple of Numerators i.e. LCM of 315,6865 is 432495.

GCF of Denominators means GCF of 895,4641 as per the given fractions.

GCF of 895,4641 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 315,6865

LCM of Fractions 315/895,6865/4641 is 432495

5 315, 6865
63, 1373

∴ So the LCM of the given numbers is 5 x 63 x 1373 = 432495

Least Common Multiple of 315,6865 with GCF Formula

Least Common Multiple of 315,6865 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 315,6865 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(315,6865) = 5

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

GCF(315,6865) x common factors =5 x 1 = 5

LCM(315,6865) = ( 315 × 6865 ) / 5

LCM(315,6865) = 2162475 / 5

LCM(315,6865) = 432495


Lets's calculate GCF of 895,4641

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 432495/1

Therefore the LCM of Fractions 315/895,6865/4641 is 432495

Greatest Common Factor of 895,4641 By Matching Biggest Common Factor Method

Greatest Common Factor of 895,4641 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 4641

List of positive integer factors of 4641 that divides 4641 without a remainder.

1,3,7,13,17,21,39,51,91,119,221,273,357,663,1547,4641

Greatest Common Factor

We found the factors 895,4641 . The biggest common factor number is the GCF number.
So the greatest common factor 895,4641 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 315/895, 6865/4641

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 315/895, 6865/4641?

Answer: LCM of Numerators as per given numbers 315/895, 6865/4641 is

LCM of Numerators i.e. for 315,6865 is 432495

GCF of denominators i.e. for 895,4641 is 1.

Thus, LCM of Fractions is 432495.Finally, LCM of Fractions for 315/895, 6865/4641 is 432495.