Least Common Multiple of 34/78, 983/28, 373/944

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/78, 983/28, 373/944 quickly i.e. 6233203 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/78, 983/28, 373/944 is 6233203.

LCM(34/78, 983/28, 373/944) = 6233203

LCM of 34/78, 983/28, 373/944

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 34/78,983/28,373/944

Given numbers are 34/78,983/28,373/944

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 34,983,373

Least Common Multiple of Numerators i.e. LCM of 34,983,373 is 12466406.

GCF of Denominators means GCF of 78,28,944 as per the given fractions.

GCF of 78,28,944 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,983,373

LCM of Fractions 34/78,983/28,373/944 is 6233203

Given numbers has no common factors except 1. So, there LCM is their product i.e 12466406

Least Common Multiple of 34,983,373 with GCF Formula

Least Common Multiple of 34,983,373 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 34,983,373 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,983,373) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(34,983,373) x common factors =1 x 1 = 1

LCM(34,983,373) = ( 34 × 983 × 373 ) / 1

LCM(34,983,373) = 12466406 / 1

LCM(34,983,373) = 12466406


Lets's calculate GCF of 78,28,944

2 78, 28, 944
39, 14, 472

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12466406/2

Therefore the LCM of Fractions 34/78,983/28,373/944 is 6233203

Greatest Common Factor of 78,28,944 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,28,944 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 944

List of positive integer factors of 944 that divides 944 without a remainder.

1,2,4,8,16,59,118,236,472,944

Greatest Common Factor

We found the factors 78,28,944 . The biggest common factor number is the GCF number.
So the greatest common factor 78,28,944 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 34/78, 983/28, 373/944

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 34/78, 983/28, 373/944?

Answer: LCM of Numerators as per given numbers 34/78, 983/28, 373/944 is

LCM of Numerators i.e. for 34,983,373 is 12466406

GCF of denominators i.e. for 78,28,944 is 2.

Thus, LCM of Fractions is 6233203.Finally, LCM of Fractions for 34/78, 983/28, 373/944 is 6233203.