Least Common Multiple of 864/819, 220/895

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 864/819, 220/895 quickly i.e. 47520 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 864/819, 220/895 is 47520.

LCM(864/819, 220/895) = 47520

LCM of 864/819, 220/895

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 864/819,220/895

Given numbers are 864/819,220/895

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 864,220

Least Common Multiple of Numerators i.e. LCM of 864,220 is 47520.

GCF of Denominators means GCF of 819,895 as per the given fractions.

GCF of 819,895 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 864,220

LCM of Fractions 864/819,220/895 is 47520

2 864, 220
2 432, 110
216, 55

∴ So the LCM of the given numbers is 2 x 2 x 216 x 55 = 47520

Least Common Multiple of 864,220 with GCF Formula

Least Common Multiple of 864,220 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 864,220 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(864,220) = 4

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

GCF(864,220) x common factors =4 x 1 = 4

LCM(864,220) = ( 864 × 220 ) / 4

LCM(864,220) = 190080 / 4

LCM(864,220) = 47520


Lets's calculate GCF of 819,895

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 47520/1

Therefore the LCM of Fractions 864/819,220/895 is 47520

Greatest Common Factor of 819,895 By Matching Biggest Common Factor Method

Greatest Common Factor of 819,895 By Matching Biggest Common Factor Method

Factors of 819

List of positive integer factors of 819 that divides 819 without a remainder.

1,3,7,9,13,21,39,63,91,117,273,819

Factors of 895

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

1,5,179,895

Greatest Common Factor

We found the factors 819,895 . The biggest common factor number is the GCF number.
So the greatest common factor 819,895 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 864/819, 220/895

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 864/819, 220/895?

Answer: LCM of Numerators as per given numbers 864/819, 220/895 is

LCM of Numerators i.e. for 864,220 is 47520

GCF of denominators i.e. for 819,895 is 1.

Thus, LCM of Fractions is 47520.Finally, LCM of Fractions for 864/819, 220/895 is 47520.