Least Common Multiple of 74/465, 852/644, 961/966

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/465, 852/644, 961/966 quickly i.e. 30294564 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/465, 852/644, 961/966 is 30294564.

LCM(74/465, 852/644, 961/966) = 30294564

LCM of 74/465, 852/644, 961/966

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 74/465,852/644,961/966

Given numbers are 74/465,852/644,961/966

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 74,852,961

Least Common Multiple of Numerators i.e. LCM of 74,852,961 is 30294564.

GCF of Denominators means GCF of 465,644,966 as per the given fractions.

GCF of 465,644,966 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,852,961

LCM of Fractions 74/465,852/644,961/966 is 30294564

2 74, 852, 961
37, 426, 961

∴ So the LCM of the given numbers is 2 x 37 x 426 x 961 = 30294564

Least Common Multiple of 74,852,961 with GCF Formula

Least Common Multiple of 74,852,961 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 74,852,961 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,852,961) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(74,852,961) x common factors =1 x 2 = 2

LCM(74,852,961) = ( 74 × 852 × 961 ) / 2

LCM(74,852,961) = 60589128 / 2

LCM(74,852,961) = 30294564


Lets's calculate GCF of 465,644,966

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30294564/1

Therefore the LCM of Fractions 74/465,852/644,961/966 is 30294564

Greatest Common Factor of 465,644,966 By Matching Biggest Common Factor Method

Greatest Common Factor of 465,644,966 By Matching Biggest Common Factor Method

Factors of 465

List of positive integer factors of 465 that divides 465 without a remainder.

1,3,5,15,31,93,155,465

Factors of 644

List of positive integer factors of 644 that divides 644 without a remainder.

1,2,4,7,14,23,28,46,92,161,322,644

Factors of 966

List of positive integer factors of 966 that divides 966 without a remainder.

1,2,3,6,7,14,21,23,42,46,69,138,161,322,483,966

Greatest Common Factor

We found the factors 465,644,966 . The biggest common factor number is the GCF number.
So the greatest common factor 465,644,966 is 1.


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 74/465, 852/644, 961/966

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 74/465, 852/644, 961/966?

Answer: LCM of Numerators as per given numbers 74/465, 852/644, 961/966 is

LCM of Numerators i.e. for 74,852,961 is 30294564

GCF of denominators i.e. for 465,644,966 is 1.

Thus, LCM of Fractions is 30294564.Finally, LCM of Fractions for 74/465, 852/644, 961/966 is 30294564.