Least Common Multiple of 39/66, 35/42, 431/147

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 39/66, 35/42, 431/147 quickly i.e. 196105 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 39/66, 35/42, 431/147 is 196105.

LCM(39/66, 35/42, 431/147) = 196105

LCM of 39/66, 35/42, 431/147

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 39/66,35/42,431/147

Given numbers are 39/66,35/42,431/147

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 39,35,431

Least Common Multiple of Numerators i.e. LCM of 39,35,431 is 588315.

GCF of Denominators means GCF of 66,42,147 as per the given fractions.

GCF of 66,42,147 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 39,35,431

LCM of Fractions 39/66,35/42,431/147 is 196105

Given numbers has no common factors except 1. So, there LCM is their product i.e 588315

Least Common Multiple of 39,35,431 with GCF Formula

Least Common Multiple of 39,35,431 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 39,35,431 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,35,431) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(39,35,431) x common factors =1 x 1 = 1

LCM(39,35,431) = ( 39 × 35 × 431 ) / 1

LCM(39,35,431) = 588315 / 1

LCM(39,35,431) = 588315


Lets's calculate GCF of 66,42,147

3 66, 42, 147
22, 14, 49

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 588315/3

Therefore the LCM of Fractions 39/66,35/42,431/147 is 196105

Greatest Common Factor of 66,42,147 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,42,147 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 147

List of positive integer factors of 147 that divides 147 without a remainder.

1,3,7,21,49,147

Greatest Common Factor

We found the factors 66,42,147 . The biggest common factor number is the GCF number.
So the greatest common factor 66,42,147 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 39/66, 35/42, 431/147

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 39/66, 35/42, 431/147?

Answer: LCM of Numerators as per given numbers 39/66, 35/42, 431/147 is

LCM of Numerators i.e. for 39,35,431 is 588315

GCF of denominators i.e. for 66,42,147 is 3.

Thus, LCM of Fractions is 196105.Finally, LCM of Fractions for 39/66, 35/42, 431/147 is 196105.