Least Common Multiple of 83/28, 30/54, 83/73, 55/678

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 83/28, 30/54, 83/73, 55/678 quickly i.e. 27390 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/28, 30/54, 83/73, 55/678 is 27390.

LCM(83/28, 30/54, 83/73, 55/678) = 27390

LCM of 83/28, 30/54, 83/73, 55/678

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 83/28,30/54,83/73,55/678

Given numbers are 83/28,30/54,83/73,55/678

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 83,30,83,55

Least Common Multiple of Numerators i.e. LCM of 83,30,83,55 is 27390.

GCF of Denominators means GCF of 28,54,73,678 as per the given fractions.

GCF of 28,54,73,678 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,30,83,55

LCM of Fractions 83/28,30/54,83/73,55/678 is 27390

5 83, 30, 83, 55
83 83, 6, 83, 11
1, 6, 1, 11

∴ So the LCM of the given numbers is 5 x 83 x 1 x 6 x 1 x 11 = 27390

Least Common Multiple of 83,30,83,55 with GCF Formula

Least Common Multiple of 83,30,83,55 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 83,30,83,55 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,30,83,55) = 1

common factors(in case of two or more numbers have common factors) = 415

GCF(83,30,83,55) x common factors =1 x 415 = 415

LCM(83,30,83,55) = ( 83 × 30 × 83 × 55 ) / 415

LCM(83,30,83,55) = 11366850 / 415

LCM(83,30,83,55) = 27390


Lets's calculate GCF of 28,54,73,678

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27390/1

Therefore the LCM of Fractions 83/28,30/54,83/73,55/678 is 27390

Greatest Common Factor of 28,54,73,678 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,54,73,678 By Matching Biggest Common Factor Method

Factors of 28

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

1,2,4,7,14,28

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 678

List of positive integer factors of 678 that divides 678 without a remainder.

1,2,3,6,113,226,339,678

Greatest Common Factor

We found the factors 28,54,73,678 . The biggest common factor number is the GCF number.
So the greatest common factor 28,54,73,678 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 83/28, 30/54, 83/73, 55/678

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 83/28, 30/54, 83/73, 55/678?

Answer: LCM of Numerators as per given numbers 83/28, 30/54, 83/73, 55/678 is

LCM of Numerators i.e. for 83,30,83,55 is 27390

GCF of denominators i.e. for 28,54,73,678 is 1.

Thus, LCM of Fractions is 27390.Finally, LCM of Fractions for 83/28, 30/54, 83/73, 55/678 is 27390.