Least Common Multiple of 32/642, 12/406, 719/314

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 32/642, 12/406, 719/314 quickly i.e. 34512 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 32/642, 12/406, 719/314 is 34512.

LCM(32/642, 12/406, 719/314) = 34512

LCM of 32/642, 12/406, 719/314

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 32/642,12/406,719/314

Given numbers are 32/642,12/406,719/314

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 32,12,719

Least Common Multiple of Numerators i.e. LCM of 32,12,719 is 69024.

GCF of Denominators means GCF of 642,406,314 as per the given fractions.

GCF of 642,406,314 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 32,12,719

LCM of Fractions 32/642,12/406,719/314 is 34512

2 32, 12, 719
2 16, 6, 719
8, 3, 719

∴ So the LCM of the given numbers is 2 x 2 x 8 x 3 x 719 = 69024

Least Common Multiple of 32,12,719 with GCF Formula

Least Common Multiple of 32,12,719 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 32,12,719 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,12,719) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(32,12,719) x common factors =1 x 4 = 4

LCM(32,12,719) = ( 32 × 12 × 719 ) / 4

LCM(32,12,719) = 276096 / 4

LCM(32,12,719) = 69024


Lets's calculate GCF of 642,406,314

2 642, 406, 314
321, 203, 157

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 69024/2

Therefore the LCM of Fractions 32/642,12/406,719/314 is 34512

Greatest Common Factor of 642,406,314 By Matching Biggest Common Factor Method

Greatest Common Factor of 642,406,314 By Matching Biggest Common Factor Method

Factors of 642

List of positive integer factors of 642 that divides 642 without a remainder.

1,2,3,6,107,214,321,642

Factors of 406

List of positive integer factors of 406 that divides 406 without a remainder.

1,2,7,14,29,58,203,406

Factors of 314

List of positive integer factors of 314 that divides 314 without a remainder.

1,2,157,314

Greatest Common Factor

We found the factors 642,406,314 . The biggest common factor number is the GCF number.
So the greatest common factor 642,406,314 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 32/642, 12/406, 719/314

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 32/642, 12/406, 719/314?

Answer: LCM of Numerators as per given numbers 32/642, 12/406, 719/314 is

LCM of Numerators i.e. for 32,12,719 is 69024

GCF of denominators i.e. for 642,406,314 is 2.

Thus, LCM of Fractions is 34512.Finally, LCM of Fractions for 32/642, 12/406, 719/314 is 34512.