Least Common Multiple of 2250/466, 7159/710

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2250/466, 7159/710 quickly i.e. 8053875 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2250/466, 7159/710 is 8053875.

LCM(2250/466, 7159/710) = 8053875

LCM of 2250/466, 7159/710

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 2250/466,7159/710

Given numbers are 2250/466,7159/710

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 2250,7159

Least Common Multiple of Numerators i.e. LCM of 2250,7159 is 16107750.

GCF of Denominators means GCF of 466,710 as per the given fractions.

GCF of 466,710 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2250,7159

LCM of Fractions 2250/466,7159/710 is 8053875

Given numbers has no common factors except 1. So, there LCM is their product i.e 16107750

Least Common Multiple of 2250,7159 with GCF Formula

Least Common Multiple of 2250,7159 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 2250,7159 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2250,7159) = 1

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

GCF(2250,7159) x common factors =1 x 1 = 1

LCM(2250,7159) = ( 2250 × 7159 ) / 1

LCM(2250,7159) = 16107750 / 1

LCM(2250,7159) = 16107750


Lets's calculate GCF of 466,710

2 466, 710
233, 355

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16107750/2

Therefore the LCM of Fractions 2250/466,7159/710 is 8053875

Greatest Common Factor of 466,710 By Matching Biggest Common Factor Method

Greatest Common Factor of 466,710 By Matching Biggest Common Factor Method

Factors of 466

List of positive integer factors of 466 that divides 466 without a remainder.

1,2,233,466

Factors of 710

List of positive integer factors of 710 that divides 710 without a remainder.

1,2,5,10,71,142,355,710

Greatest Common Factor

We found the factors 466,710 . The biggest common factor number is the GCF number.
So the greatest common factor 466,710 is 2.


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 2250/466, 7159/710

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 2250/466, 7159/710?

Answer: LCM of Numerators as per given numbers 2250/466, 7159/710 is

LCM of Numerators i.e. for 2250,7159 is 16107750

GCF of denominators i.e. for 466,710 is 2.

Thus, LCM of Fractions is 8053875.Finally, LCM of Fractions for 2250/466, 7159/710 is 8053875.