Least Common Multiple of 83/612, 33/678, 949/982

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 83/612, 33/678, 949/982 quickly i.e. 2599311/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/612, 33/678, 949/982 is 2599311/2.

LCM(83/612, 33/678, 949/982) = 2599311/2

LCM of 83/612, 33/678, 949/982

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 83/612,33/678,949/982

Given numbers are 83/612,33/678,949/982

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 83,33,949

Least Common Multiple of Numerators i.e. LCM of 83,33,949 is 2599311.

GCF of Denominators means GCF of 612,678,982 as per the given fractions.

GCF of 612,678,982 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,33,949

LCM of Fractions 83/612,33/678,949/982 is 2599311/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 2599311

Least Common Multiple of 83,33,949 with GCF Formula

Least Common Multiple of 83,33,949 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 83,33,949 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,33,949) = 1

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

GCF(83,33,949) x common factors =1 x 1 = 1

LCM(83,33,949) = ( 83 × 33 × 949 ) / 1

LCM(83,33,949) = 2599311 / 1

LCM(83,33,949) = 2599311


Lets's calculate GCF of 612,678,982

2 612, 678, 982
306, 339, 491

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2599311/2

Therefore the LCM of Fractions 83/612,33/678,949/982 is 2599311/2

Greatest Common Factor of 612,678,982 By Matching Biggest Common Factor Method

Greatest Common Factor of 612,678,982 By Matching Biggest Common Factor Method

Factors of 612

List of positive integer factors of 612 that divides 612 without a remainder.

1,2,3,4,6,9,12,17,18,34,36,51,68,102,153,204,306,612

Factors of 678

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

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

Factors of 982

List of positive integer factors of 982 that divides 982 without a remainder.

1,2,491,982

Greatest Common Factor

We found the factors 612,678,982 . The biggest common factor number is the GCF number.
So the greatest common factor 612,678,982 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 83/612, 33/678, 949/982

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 83/612, 33/678, 949/982?

Answer: LCM of Numerators as per given numbers 83/612, 33/678, 949/982 is

LCM of Numerators i.e. for 83,33,949 is 2599311

GCF of denominators i.e. for 612,678,982 is 2.

Thus, LCM of Fractions is 2599311/2.Finally, LCM of Fractions for 83/612, 33/678, 949/982 is 2599311/2.