Least Common Multiple of 66/312, 131/681, 106/408

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 66/312, 131/681, 106/408 quickly i.e. 152746 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 66/312, 131/681, 106/408 is 152746.

LCM(66/312, 131/681, 106/408) = 152746

LCM of 66/312, 131/681, 106/408

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 66/312,131/681,106/408

Given numbers are 66/312,131/681,106/408

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 66,131,106

Least Common Multiple of Numerators i.e. LCM of 66,131,106 is 458238.

GCF of Denominators means GCF of 312,681,408 as per the given fractions.

GCF of 312,681,408 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 66,131,106

LCM of Fractions 66/312,131/681,106/408 is 152746

2 66, 131, 106
33, 131, 53

∴ So the LCM of the given numbers is 2 x 33 x 131 x 53 = 458238

Least Common Multiple of 66,131,106 with GCF Formula

Least Common Multiple of 66,131,106 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 66,131,106 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,131,106) = 1

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

GCF(66,131,106) x common factors =1 x 2 = 2

LCM(66,131,106) = ( 66 × 131 × 106 ) / 2

LCM(66,131,106) = 916476 / 2

LCM(66,131,106) = 458238


Lets's calculate GCF of 312,681,408

3 312, 681, 408
104, 227, 136

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 458238/3

Therefore the LCM of Fractions 66/312,131/681,106/408 is 152746

Greatest Common Factor of 312,681,408 By Matching Biggest Common Factor Method

Greatest Common Factor of 312,681,408 By Matching Biggest Common Factor Method

Factors of 312

List of positive integer factors of 312 that divides 312 without a remainder.

1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312

Factors of 681

List of positive integer factors of 681 that divides 681 without a remainder.

1,3,227,681

Factors of 408

List of positive integer factors of 408 that divides 408 without a remainder.

1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408

Greatest Common Factor

We found the factors 312,681,408 . The biggest common factor number is the GCF number.
So the greatest common factor 312,681,408 is 3.


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 66/312, 131/681, 106/408

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 66/312, 131/681, 106/408?

Answer: LCM of Numerators as per given numbers 66/312, 131/681, 106/408 is

LCM of Numerators i.e. for 66,131,106 is 458238

GCF of denominators i.e. for 312,681,408 is 3.

Thus, LCM of Fractions is 152746.Finally, LCM of Fractions for 66/312, 131/681, 106/408 is 152746.