Least Common Multiple of 730/217, 8999/959

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 730/217, 8999/959 quickly i.e. 6569270/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 730/217, 8999/959 is 6569270/7.

LCM(730/217, 8999/959) = 6569270/7

LCM of 730/217, 8999/959

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 730/217,8999/959

Given numbers are 730/217,8999/959

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 730,8999

Least Common Multiple of Numerators i.e. LCM of 730,8999 is 6569270.

GCF of Denominators means GCF of 217,959 as per the given fractions.

GCF of 217,959 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 730,8999

LCM of Fractions 730/217,8999/959 is 6569270/7

Given numbers has no common factors except 1. So, there LCM is their product i.e 6569270

Least Common Multiple of 730,8999 with GCF Formula

Least Common Multiple of 730,8999 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 730,8999 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(730,8999) = 1

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

GCF(730,8999) x common factors =1 x 1 = 1

LCM(730,8999) = ( 730 × 8999 ) / 1

LCM(730,8999) = 6569270 / 1

LCM(730,8999) = 6569270


Lets's calculate GCF of 217,959

7 217, 959
31, 137

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6569270/7

Therefore the LCM of Fractions 730/217,8999/959 is 6569270/7

Greatest Common Factor of 217,959 By Matching Biggest Common Factor Method

Greatest Common Factor of 217,959 By Matching Biggest Common Factor Method

Factors of 217

List of positive integer factors of 217 that divides 217 without a remainder.

1,7,31,217

Factors of 959

List of positive integer factors of 959 that divides 959 without a remainder.

1,7,137,959

Greatest Common Factor

We found the factors 217,959 . The biggest common factor number is the GCF number.
So the greatest common factor 217,959 is 7.


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 730/217, 8999/959

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 730/217, 8999/959?

Answer: LCM of Numerators as per given numbers 730/217, 8999/959 is

LCM of Numerators i.e. for 730,8999 is 6569270

GCF of denominators i.e. for 217,959 is 7.

Thus, LCM of Fractions is 6569270/7.Finally, LCM of Fractions for 730/217, 8999/959 is 6569270/7.