Least Common Multiple of 78/630, 66/780, 208/444

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/630, 66/780, 208/444 quickly i.e. 1144 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/630, 66/780, 208/444 is 1144.

LCM(78/630, 66/780, 208/444) = 1144

LCM of 78/630, 66/780, 208/444

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 78/630,66/780,208/444

Given numbers are 78/630,66/780,208/444

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 78,66,208

Least Common Multiple of Numerators i.e. LCM of 78,66,208 is 6864.

GCF of Denominators means GCF of 630,780,444 as per the given fractions.

GCF of 630,780,444 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,66,208

LCM of Fractions 78/630,66/780,208/444 is 1144

2 78, 66, 208
3 39, 33, 104
13 13, 11, 104
1, 11, 8

∴ So the LCM of the given numbers is 2 x 3 x 13 x 1 x 11 x 8 = 6864

Least Common Multiple of 78,66,208 with GCF Formula

Least Common Multiple of 78,66,208 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 78,66,208 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,66,208) = 2

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

GCF(78,66,208) x common factors =2 x 78 = 156

LCM(78,66,208) = ( 78 × 66 × 208 ) / 156

LCM(78,66,208) = 1070784 / 156

LCM(78,66,208) = 6864


Lets's calculate GCF of 630,780,444

2 630, 780, 444
3 315, 390, 222
105, 130, 74

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6864/6

Therefore the LCM of Fractions 78/630,66/780,208/444 is 1144

Greatest Common Factor of 630,780,444 By Matching Biggest Common Factor Method

Greatest Common Factor of 630,780,444 By Matching Biggest Common Factor Method

Factors of 630

List of positive integer factors of 630 that divides 630 without a remainder.

1,2,3,5,6,7,9,10,14,15,18,21,30,35,42,45,63,70,90,105,126,210,315,630

Factors of 780

List of positive integer factors of 780 that divides 780 without a remainder.

1,2,3,4,5,6,10,12,13,15,20,26,30,39,52,60,65,78,130,156,195,260,390,780

Factors of 444

List of positive integer factors of 444 that divides 444 without a remainder.

1,2,3,4,6,12,37,74,111,148,222,444

Greatest Common Factor

We found the factors 630,780,444 . The biggest common factor number is the GCF number.
So the greatest common factor 630,780,444 is 6.


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 78/630, 66/780, 208/444

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 78/630, 66/780, 208/444?

Answer: LCM of Numerators as per given numbers 78/630, 66/780, 208/444 is

LCM of Numerators i.e. for 78,66,208 is 6864

GCF of denominators i.e. for 630,780,444 is 6.

Thus, LCM of Fractions is 1144.Finally, LCM of Fractions for 78/630, 66/780, 208/444 is 1144.