Least Common Multiple of 78/684, 75/963, 384/463

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/684, 75/963, 384/463 quickly i.e. 124800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/684, 75/963, 384/463 is 124800.

LCM(78/684, 75/963, 384/463) = 124800

LCM of 78/684, 75/963, 384/463

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 78/684,75/963,384/463

Given numbers are 78/684,75/963,384/463

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 78,75,384

Least Common Multiple of Numerators i.e. LCM of 78,75,384 is 124800.

GCF of Denominators means GCF of 684,963,463 as per the given fractions.

GCF of 684,963,463 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,75,384

LCM of Fractions 78/684,75/963,384/463 is 124800

2 78, 75, 384
3 39, 75, 192
13, 25, 64

∴ So the LCM of the given numbers is 2 x 3 x 13 x 25 x 64 = 124800

Least Common Multiple of 78,75,384 with GCF Formula

Least Common Multiple of 78,75,384 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 78,75,384 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,75,384) = 3

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

GCF(78,75,384) x common factors =3 x 6 = 18

LCM(78,75,384) = ( 78 × 75 × 384 ) / 18

LCM(78,75,384) = 2246400 / 18

LCM(78,75,384) = 124800


Lets's calculate GCF of 684,963,463

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 124800/1

Therefore the LCM of Fractions 78/684,75/963,384/463 is 124800

Greatest Common Factor of 684,963,463 By Matching Biggest Common Factor Method

Greatest Common Factor of 684,963,463 By Matching Biggest Common Factor Method

Factors of 684

List of positive integer factors of 684 that divides 684 without a remainder.

1,2,3,4,6,9,12,18,19,36,38,57,76,114,171,228,342,684

Factors of 963

List of positive integer factors of 963 that divides 963 without a remainder.

1,3,9,107,321,963

Factors of 463

List of positive integer factors of 463 that divides 463 without a remainder.

1,463

Greatest Common Factor

We found the factors 684,963,463 . The biggest common factor number is the GCF number.
So the greatest common factor 684,963,463 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 78/684, 75/963, 384/463

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 78/684, 75/963, 384/463?

Answer: LCM of Numerators as per given numbers 78/684, 75/963, 384/463 is

LCM of Numerators i.e. for 78,75,384 is 124800

GCF of denominators i.e. for 684,963,463 is 1.

Thus, LCM of Fractions is 124800.Finally, LCM of Fractions for 78/684, 75/963, 384/463 is 124800.