Least Common Multiple of 450/834, 2439/970

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 450/834, 2439/970 quickly i.e. 60975 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 450/834, 2439/970 is 60975.

LCM(450/834, 2439/970) = 60975

LCM of 450/834, 2439/970

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 450/834,2439/970

Given numbers are 450/834,2439/970

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 450,2439

Least Common Multiple of Numerators i.e. LCM of 450,2439 is 121950.

GCF of Denominators means GCF of 834,970 as per the given fractions.

GCF of 834,970 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 450,2439

LCM of Fractions 450/834,2439/970 is 60975

3 450, 2439
3 150, 813
50, 271

∴ So the LCM of the given numbers is 3 x 3 x 50 x 271 = 121950

Least Common Multiple of 450,2439 with GCF Formula

Least Common Multiple of 450,2439 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 450,2439 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(450,2439) = 9

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

GCF(450,2439) x common factors =9 x 1 = 9

LCM(450,2439) = ( 450 × 2439 ) / 9

LCM(450,2439) = 1097550 / 9

LCM(450,2439) = 121950


Lets's calculate GCF of 834,970

2 834, 970
417, 485

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 121950/2

Therefore the LCM of Fractions 450/834,2439/970 is 60975

Greatest Common Factor of 834,970 By Matching Biggest Common Factor Method

Greatest Common Factor of 834,970 By Matching Biggest Common Factor Method

Factors of 834

List of positive integer factors of 834 that divides 834 without a remainder.

1,2,3,6,139,278,417,834

Factors of 970

List of positive integer factors of 970 that divides 970 without a remainder.

1,2,5,10,97,194,485,970

Greatest Common Factor

We found the factors 834,970 . The biggest common factor number is the GCF number.
So the greatest common factor 834,970 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 450/834, 2439/970

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 450/834, 2439/970?

Answer: LCM of Numerators as per given numbers 450/834, 2439/970 is

LCM of Numerators i.e. for 450,2439 is 121950

GCF of denominators i.e. for 834,970 is 2.

Thus, LCM of Fractions is 60975.Finally, LCM of Fractions for 450/834, 2439/970 is 60975.