Least Common Multiple of 78/45, 66/657, 335/312

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/45, 66/657, 335/312 quickly i.e. 95810 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/45, 66/657, 335/312 is 95810.

LCM(78/45, 66/657, 335/312) = 95810

LCM of 78/45, 66/657, 335/312

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 78/45,66/657,335/312

Given numbers are 78/45,66/657,335/312

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 78,66,335

Least Common Multiple of Numerators i.e. LCM of 78,66,335 is 287430.

GCF of Denominators means GCF of 45,657,312 as per the given fractions.

GCF of 45,657,312 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,66,335

LCM of Fractions 78/45,66/657,335/312 is 95810

2 78, 66, 335
3 39, 33, 335
13, 11, 335

∴ So the LCM of the given numbers is 2 x 3 x 13 x 11 x 335 = 287430

Least Common Multiple of 78,66,335 with GCF Formula

Least Common Multiple of 78,66,335 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 78,66,335 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,66,335) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(78,66,335) x common factors =1 x 6 = 6

LCM(78,66,335) = ( 78 × 66 × 335 ) / 6

LCM(78,66,335) = 1724580 / 6

LCM(78,66,335) = 287430


Lets's calculate GCF of 45,657,312

3 45, 657, 312
15, 219, 104

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 287430/3

Therefore the LCM of Fractions 78/45,66/657,335/312 is 95810

Greatest Common Factor of 45,657,312 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,657,312 By Matching Biggest Common Factor Method

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 657

List of positive integer factors of 657 that divides 657 without a remainder.

1,3,9,73,219,657

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

Greatest Common Factor

We found the factors 45,657,312 . The biggest common factor number is the GCF number.
So the greatest common factor 45,657,312 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 78/45, 66/657, 335/312

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 78/45, 66/657, 335/312?

Answer: LCM of Numerators as per given numbers 78/45, 66/657, 335/312 is

LCM of Numerators i.e. for 78,66,335 is 287430

GCF of denominators i.e. for 45,657,312 is 3.

Thus, LCM of Fractions is 95810.Finally, LCM of Fractions for 78/45, 66/657, 335/312 is 95810.