Least Common Multiple of 560/455, 8953/819

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 560/455, 8953/819 quickly i.e. 716240/91 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 560/455, 8953/819 is 716240/91.

LCM(560/455, 8953/819) = 716240/91

LCM of 560/455, 8953/819

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 560/455,8953/819

Given numbers are 560/455,8953/819

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 560,8953

Least Common Multiple of Numerators i.e. LCM of 560,8953 is 716240.

GCF of Denominators means GCF of 455,819 as per the given fractions.

GCF of 455,819 is 91 as it is the largest common factor for these numbers.

Lets's calculate LCM of 560,8953

LCM of Fractions 560/455,8953/819 is 716240/91

7 560, 8953
80, 1279

∴ So the LCM of the given numbers is 7 x 80 x 1279 = 716240

Least Common Multiple of 560,8953 with GCF Formula

Least Common Multiple of 560,8953 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 560,8953 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(560,8953) = 7

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

GCF(560,8953) x common factors =7 x 1 = 7

LCM(560,8953) = ( 560 × 8953 ) / 7

LCM(560,8953) = 5013680 / 7

LCM(560,8953) = 716240


Lets's calculate GCF of 455,819

7 455, 819
13 65, 117
5, 9

∴ So the GCF of the given numbers is 7 x 13 = 91

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 716240/91

Therefore the LCM of Fractions 560/455,8953/819 is 716240/91

Greatest Common Factor of 455,819 By Matching Biggest Common Factor Method

Greatest Common Factor of 455,819 By Matching Biggest Common Factor Method

Factors of 455

List of positive integer factors of 455 that divides 455 without a remainder.

1,5,7,13,35,65,91,455

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

Greatest Common Factor

We found the factors 455,819 . The biggest common factor number is the GCF number.
So the greatest common factor 455,819 is 91.


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 560/455, 8953/819

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 560/455, 8953/819?

Answer: LCM of Numerators as per given numbers 560/455, 8953/819 is

LCM of Numerators i.e. for 560,8953 is 716240

GCF of denominators i.e. for 455,819 is 91.

Thus, LCM of Fractions is 716240/91.Finally, LCM of Fractions for 560/455, 8953/819 is 716240/91.