Least Common Multiple of 11/40, 84/774, 147/644

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 11/40, 84/774, 147/644 quickly i.e. 3234 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 11/40, 84/774, 147/644 is 3234.

LCM(11/40, 84/774, 147/644) = 3234

LCM of 11/40, 84/774, 147/644

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 11/40,84/774,147/644

Given numbers are 11/40,84/774,147/644

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 11,84,147

Least Common Multiple of Numerators i.e. LCM of 11,84,147 is 6468.

GCF of Denominators means GCF of 40,774,644 as per the given fractions.

GCF of 40,774,644 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 11,84,147

LCM of Fractions 11/40,84/774,147/644 is 3234

3 11, 84, 147
7 11, 28, 49
11, 4, 7

∴ So the LCM of the given numbers is 3 x 7 x 11 x 4 x 7 = 6468

Least Common Multiple of 11,84,147 with GCF Formula

Least Common Multiple of 11,84,147 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 11,84,147 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,84,147) = 1

common factors(in case of two or more numbers have common factors) = 21

GCF(11,84,147) x common factors =1 x 21 = 21

LCM(11,84,147) = ( 11 × 84 × 147 ) / 21

LCM(11,84,147) = 135828 / 21

LCM(11,84,147) = 6468


Lets's calculate GCF of 40,774,644

2 40, 774, 644
20, 387, 322

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6468/2

Therefore the LCM of Fractions 11/40,84/774,147/644 is 3234

Greatest Common Factor of 40,774,644 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,774,644 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 774

List of positive integer factors of 774 that divides 774 without a remainder.

1,2,3,6,9,18,43,86,129,258,387,774

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

Greatest Common Factor

We found the factors 40,774,644 . The biggest common factor number is the GCF number.
So the greatest common factor 40,774,644 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 11/40, 84/774, 147/644

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 11/40, 84/774, 147/644?

Answer: LCM of Numerators as per given numbers 11/40, 84/774, 147/644 is

LCM of Numerators i.e. for 11,84,147 is 6468

GCF of denominators i.e. for 40,774,644 is 2.

Thus, LCM of Fractions is 3234.Finally, LCM of Fractions for 11/40, 84/774, 147/644 is 3234.