Least Common Multiple of 283/217, 520/812

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 283/217, 520/812 quickly i.e. 147160/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 283/217, 520/812 is 147160/7.

LCM(283/217, 520/812) = 147160/7

LCM of 283/217, 520/812

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 283/217,520/812

Given numbers are 283/217,520/812

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 283,520

Least Common Multiple of Numerators i.e. LCM of 283,520 is 147160.

GCF of Denominators means GCF of 217,812 as per the given fractions.

GCF of 217,812 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 283,520

LCM of Fractions 283/217,520/812 is 147160/7

Given numbers has no common factors except 1. So, there LCM is their product i.e 147160

Least Common Multiple of 283,520 with GCF Formula

Least Common Multiple of 283,520 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 283,520 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(283,520) = 1

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

GCF(283,520) x common factors =1 x 1 = 1

LCM(283,520) = ( 283 × 520 ) / 1

LCM(283,520) = 147160 / 1

LCM(283,520) = 147160


Lets's calculate GCF of 217,812

7 217, 812
31, 116

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 147160/7

Therefore the LCM of Fractions 283/217,520/812 is 147160/7

Greatest Common Factor of 217,812 By Matching Biggest Common Factor Method

Greatest Common Factor of 217,812 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 812

List of positive integer factors of 812 that divides 812 without a remainder.

1,2,4,7,14,28,29,58,116,203,406,812

Greatest Common Factor

We found the factors 217,812 . The biggest common factor number is the GCF number.
So the greatest common factor 217,812 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 283/217, 520/812

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 283/217, 520/812?

Answer: LCM of Numerators as per given numbers 283/217, 520/812 is

LCM of Numerators i.e. for 283,520 is 147160

GCF of denominators i.e. for 217,812 is 7.

Thus, LCM of Fractions is 147160/7.Finally, LCM of Fractions for 283/217, 520/812 is 147160/7.