Least Common Multiple of 12/341, 76/642, 915/416

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 12/341, 76/642, 915/416 quickly i.e. 69540 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 12/341, 76/642, 915/416 is 69540.

LCM(12/341, 76/642, 915/416) = 69540

LCM of 12/341, 76/642, 915/416

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 12/341,76/642,915/416

Given numbers are 12/341,76/642,915/416

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 12,76,915

Least Common Multiple of Numerators i.e. LCM of 12,76,915 is 69540.

GCF of Denominators means GCF of 341,642,416 as per the given fractions.

GCF of 341,642,416 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 12,76,915

LCM of Fractions 12/341,76/642,915/416 is 69540

2 12, 76, 915
2 6, 38, 915
3 3, 19, 915
1, 19, 305

∴ So the LCM of the given numbers is 2 x 2 x 3 x 1 x 19 x 305 = 69540

Least Common Multiple of 12,76,915 with GCF Formula

Least Common Multiple of 12,76,915 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 12,76,915 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,76,915) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(12,76,915) x common factors =1 x 12 = 12

LCM(12,76,915) = ( 12 × 76 × 915 ) / 12

LCM(12,76,915) = 834480 / 12

LCM(12,76,915) = 69540


Lets's calculate GCF of 341,642,416

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 69540/1

Therefore the LCM of Fractions 12/341,76/642,915/416 is 69540

Greatest Common Factor of 341,642,416 By Matching Biggest Common Factor Method

Greatest Common Factor of 341,642,416 By Matching Biggest Common Factor Method

Factors of 341

List of positive integer factors of 341 that divides 341 without a remainder.

1,11,31,341

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 416

List of positive integer factors of 416 that divides 416 without a remainder.

1,2,4,8,13,16,26,32,52,104,208,416

Greatest Common Factor

We found the factors 341,642,416 . The biggest common factor number is the GCF number.
So the greatest common factor 341,642,416 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 12/341, 76/642, 915/416

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 12/341, 76/642, 915/416?

Answer: LCM of Numerators as per given numbers 12/341, 76/642, 915/416 is

LCM of Numerators i.e. for 12,76,915 is 69540

GCF of denominators i.e. for 341,642,416 is 1.

Thus, LCM of Fractions is 69540.Finally, LCM of Fractions for 12/341, 76/642, 915/416 is 69540.