Least Common Multiple of 468/11, 461/55, 738/317

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 468/11, 461/55, 738/317 quickly i.e. 8845668 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 468/11, 461/55, 738/317 is 8845668.

LCM(468/11, 461/55, 738/317) = 8845668

LCM of 468/11, 461/55, 738/317

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 468/11,461/55,738/317

Given numbers are 468/11,461/55,738/317

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 468,461,738

Least Common Multiple of Numerators i.e. LCM of 468,461,738 is 8845668.

GCF of Denominators means GCF of 11,55,317 as per the given fractions.

GCF of 11,55,317 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 468,461,738

LCM of Fractions 468/11,461/55,738/317 is 8845668

2 468, 461, 738
3 234, 461, 369
3 78, 461, 123
26, 461, 41

∴ So the LCM of the given numbers is 2 x 3 x 3 x 26 x 461 x 41 = 8845668

Least Common Multiple of 468,461,738 with GCF Formula

Least Common Multiple of 468,461,738 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 468,461,738 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(468,461,738) = 1

common factors(in case of two or more numbers have common factors) = 18

GCF(468,461,738) x common factors =1 x 18 = 18

LCM(468,461,738) = ( 468 × 461 × 738 ) / 18

LCM(468,461,738) = 159222024 / 18

LCM(468,461,738) = 8845668


Lets's calculate GCF of 11,55,317

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8845668/1

Therefore the LCM of Fractions 468/11,461/55,738/317 is 8845668

Greatest Common Factor of 11,55,317 By Matching Biggest Common Factor Method

Greatest Common Factor of 11,55,317 By Matching Biggest Common Factor Method

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 317

List of positive integer factors of 317 that divides 317 without a remainder.

1,317

Greatest Common Factor

We found the factors 11,55,317 . The biggest common factor number is the GCF number.
So the greatest common factor 11,55,317 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 468/11, 461/55, 738/317

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 468/11, 461/55, 738/317?

Answer: LCM of Numerators as per given numbers 468/11, 461/55, 738/317 is

LCM of Numerators i.e. for 468,461,738 is 8845668

GCF of denominators i.e. for 11,55,317 is 1.

Thus, LCM of Fractions is 8845668.Finally, LCM of Fractions for 468/11, 461/55, 738/317 is 8845668.