Least Common Multiple of 74/834, 115/660, 621/326

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/834, 115/660, 621/326 quickly i.e. 114885 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/834, 115/660, 621/326 is 114885.

LCM(74/834, 115/660, 621/326) = 114885

LCM of 74/834, 115/660, 621/326

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 74/834,115/660,621/326

Given numbers are 74/834,115/660,621/326

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 74,115,621

Least Common Multiple of Numerators i.e. LCM of 74,115,621 is 229770.

GCF of Denominators means GCF of 834,660,326 as per the given fractions.

GCF of 834,660,326 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,115,621

LCM of Fractions 74/834,115/660,621/326 is 114885

23 74, 115, 621
74, 5, 27

∴ So the LCM of the given numbers is 23 x 74 x 5 x 27 = 229770

Least Common Multiple of 74,115,621 with GCF Formula

Least Common Multiple of 74,115,621 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 74,115,621 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,115,621) = 1

common factors(in case of two or more numbers have common factors) = 23

GCF(74,115,621) x common factors =1 x 23 = 23

LCM(74,115,621) = ( 74 × 115 × 621 ) / 23

LCM(74,115,621) = 5284710 / 23

LCM(74,115,621) = 229770


Lets's calculate GCF of 834,660,326

2 834, 660, 326
417, 330, 163

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 229770/2

Therefore the LCM of Fractions 74/834,115/660,621/326 is 114885

Greatest Common Factor of 834,660,326 By Matching Biggest Common Factor Method

Greatest Common Factor of 834,660,326 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 660

List of positive integer factors of 660 that divides 660 without a remainder.

1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660

Factors of 326

List of positive integer factors of 326 that divides 326 without a remainder.

1,2,163,326

Greatest Common Factor

We found the factors 834,660,326 . The biggest common factor number is the GCF number.
So the greatest common factor 834,660,326 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 74/834, 115/660, 621/326

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 74/834, 115/660, 621/326?

Answer: LCM of Numerators as per given numbers 74/834, 115/660, 621/326 is

LCM of Numerators i.e. for 74,115,621 is 229770

GCF of denominators i.e. for 834,660,326 is 2.

Thus, LCM of Fractions is 114885.Finally, LCM of Fractions for 74/834, 115/660, 621/326 is 114885.