Least Common Multiple of 78/34, 204/44, 984/268

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/34, 204/44, 984/268 quickly i.e. 108732 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/34, 204/44, 984/268 is 108732.

LCM(78/34, 204/44, 984/268) = 108732

LCM of 78/34, 204/44, 984/268

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 78/34,204/44,984/268

Given numbers are 78/34,204/44,984/268

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 78,204,984

Least Common Multiple of Numerators i.e. LCM of 78,204,984 is 217464.

GCF of Denominators means GCF of 34,44,268 as per the given fractions.

GCF of 34,44,268 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,204,984

LCM of Fractions 78/34,204/44,984/268 is 108732

2 78, 204, 984
2 39, 102, 492
3 39, 51, 246
13, 17, 82

∴ So the LCM of the given numbers is 2 x 2 x 3 x 13 x 17 x 82 = 217464

Least Common Multiple of 78,204,984 with GCF Formula

Least Common Multiple of 78,204,984 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 78,204,984 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,204,984) = 6

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

GCF(78,204,984) x common factors =6 x 12 = 72

LCM(78,204,984) = ( 78 × 204 × 984 ) / 72

LCM(78,204,984) = 15657408 / 72

LCM(78,204,984) = 217464


Lets's calculate GCF of 34,44,268

2 34, 44, 268
17, 22, 134

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 217464/2

Therefore the LCM of Fractions 78/34,204/44,984/268 is 108732

Greatest Common Factor of 34,44,268 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,44,268 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 268

List of positive integer factors of 268 that divides 268 without a remainder.

1,2,4,67,134,268

Greatest Common Factor

We found the factors 34,44,268 . The biggest common factor number is the GCF number.
So the greatest common factor 34,44,268 is 2.


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 78/34, 204/44, 984/268

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 78/34, 204/44, 984/268?

Answer: LCM of Numerators as per given numbers 78/34, 204/44, 984/268 is

LCM of Numerators i.e. for 78,204,984 is 217464

GCF of denominators i.e. for 34,44,268 is 2.

Thus, LCM of Fractions is 108732.Finally, LCM of Fractions for 78/34, 204/44, 984/268 is 108732.