Least Common Multiple of 61/835, 411/23, 774/444

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 61/835, 411/23, 774/444 quickly i.e. 6468318 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 61/835, 411/23, 774/444 is 6468318.

LCM(61/835, 411/23, 774/444) = 6468318

LCM of 61/835, 411/23, 774/444

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 61/835,411/23,774/444

Given numbers are 61/835,411/23,774/444

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 61,411,774

Least Common Multiple of Numerators i.e. LCM of 61,411,774 is 6468318.

GCF of Denominators means GCF of 835,23,444 as per the given fractions.

GCF of 835,23,444 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 61,411,774

LCM of Fractions 61/835,411/23,774/444 is 6468318

3 61, 411, 774
61, 137, 258

∴ So the LCM of the given numbers is 3 x 61 x 137 x 258 = 6468318

Least Common Multiple of 61,411,774 with GCF Formula

Least Common Multiple of 61,411,774 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 61,411,774 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,411,774) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(61,411,774) x common factors =1 x 3 = 3

LCM(61,411,774) = ( 61 × 411 × 774 ) / 3

LCM(61,411,774) = 19404954 / 3

LCM(61,411,774) = 6468318


Lets's calculate GCF of 835,23,444

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6468318/1

Therefore the LCM of Fractions 61/835,411/23,774/444 is 6468318

Greatest Common Factor of 835,23,444 By Matching Biggest Common Factor Method

Greatest Common Factor of 835,23,444 By Matching Biggest Common Factor Method

Factors of 835

List of positive integer factors of 835 that divides 835 without a remainder.

1,5,167,835

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 444

List of positive integer factors of 444 that divides 444 without a remainder.

1,2,3,4,6,12,37,74,111,148,222,444

Greatest Common Factor

We found the factors 835,23,444 . The biggest common factor number is the GCF number.
So the greatest common factor 835,23,444 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 61/835, 411/23, 774/444

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 61/835, 411/23, 774/444?

Answer: LCM of Numerators as per given numbers 61/835, 411/23, 774/444 is

LCM of Numerators i.e. for 61,411,774 is 6468318

GCF of denominators i.e. for 835,23,444 is 1.

Thus, LCM of Fractions is 6468318.Finally, LCM of Fractions for 61/835, 411/23, 774/444 is 6468318.