Least Common Multiple of 78/693, 312/72, 645/414

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/693, 312/72, 645/414 quickly i.e. 67080/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/693, 312/72, 645/414 is 67080/9.

LCM(78/693, 312/72, 645/414) = 67080/9

LCM of 78/693, 312/72, 645/414

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 78/693,312/72,645/414

Given numbers are 78/693,312/72,645/414

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 78,312,645

Least Common Multiple of Numerators i.e. LCM of 78,312,645 is 67080.

GCF of Denominators means GCF of 693,72,414 as per the given fractions.

GCF of 693,72,414 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,312,645

LCM of Fractions 78/693,312/72,645/414 is 67080/9

2 78, 312, 645
3 39, 156, 645
13 13, 52, 215
1, 4, 215

∴ So the LCM of the given numbers is 2 x 3 x 13 x 1 x 4 x 215 = 67080

Least Common Multiple of 78,312,645 with GCF Formula

Least Common Multiple of 78,312,645 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 78,312,645 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,312,645) = 3

common factors(in case of two or more numbers have common factors) = 78

GCF(78,312,645) x common factors =3 x 78 = 234

LCM(78,312,645) = ( 78 × 312 × 645 ) / 234

LCM(78,312,645) = 15696720 / 234

LCM(78,312,645) = 67080


Lets's calculate GCF of 693,72,414

3 693, 72, 414
3 231, 24, 138
77, 8, 46

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 67080/9

Therefore the LCM of Fractions 78/693,312/72,645/414 is 67080/9

Greatest Common Factor of 693,72,414 By Matching Biggest Common Factor Method

Greatest Common Factor of 693,72,414 By Matching Biggest Common Factor Method

Factors of 693

List of positive integer factors of 693 that divides 693 without a remainder.

1,3,7,9,11,21,33,63,77,99,231,693

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 414

List of positive integer factors of 414 that divides 414 without a remainder.

1,2,3,6,9,18,23,46,69,138,207,414

Greatest Common Factor

We found the factors 693,72,414 . The biggest common factor number is the GCF number.
So the greatest common factor 693,72,414 is 9.


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 78/693, 312/72, 645/414

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 78/693, 312/72, 645/414?

Answer: LCM of Numerators as per given numbers 78/693, 312/72, 645/414 is

LCM of Numerators i.e. for 78,312,645 is 67080

GCF of denominators i.e. for 693,72,414 is 9.

Thus, LCM of Fractions is 67080/9.Finally, LCM of Fractions for 78/693, 312/72, 645/414 is 67080/9.