Least Common Multiple of 250/531, 2276/812

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 250/531, 2276/812 quickly i.e. 284500 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 250/531, 2276/812 is 284500.

LCM(250/531, 2276/812) = 284500

LCM of 250/531, 2276/812

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 250/531,2276/812

Given numbers are 250/531,2276/812

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 250,2276

Least Common Multiple of Numerators i.e. LCM of 250,2276 is 284500.

GCF of Denominators means GCF of 531,812 as per the given fractions.

GCF of 531,812 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 250,2276

LCM of Fractions 250/531,2276/812 is 284500

2 250, 2276
125, 1138

∴ So the LCM of the given numbers is 2 x 125 x 1138 = 284500

Least Common Multiple of 250,2276 with GCF Formula

Least Common Multiple of 250,2276 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 250,2276 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(250,2276) = 2

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

GCF(250,2276) x common factors =2 x 1 = 2

LCM(250,2276) = ( 250 × 2276 ) / 2

LCM(250,2276) = 569000 / 2

LCM(250,2276) = 284500


Lets's calculate GCF of 531,812

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 284500/1

Therefore the LCM of Fractions 250/531,2276/812 is 284500

Greatest Common Factor of 531,812 By Matching Biggest Common Factor Method

Greatest Common Factor of 531,812 By Matching Biggest Common Factor Method

Factors of 531

List of positive integer factors of 531 that divides 531 without a remainder.

1,3,9,59,177,531

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 531,812 . The biggest common factor number is the GCF number.
So the greatest common factor 531,812 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 250/531, 2276/812

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 250/531, 2276/812?

Answer: LCM of Numerators as per given numbers 250/531, 2276/812 is

LCM of Numerators i.e. for 250,2276 is 284500

GCF of denominators i.e. for 531,812 is 1.

Thus, LCM of Fractions is 284500.Finally, LCM of Fractions for 250/531, 2276/812 is 284500.