Least Common Multiple of 83/386, 982/789, 905/194

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 83/386, 982/789, 905/194 quickly i.e. 73762930 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/386, 982/789, 905/194 is 73762930.

LCM(83/386, 982/789, 905/194) = 73762930

LCM of 83/386, 982/789, 905/194

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 83/386,982/789,905/194

Given numbers are 83/386,982/789,905/194

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 83,982,905

Least Common Multiple of Numerators i.e. LCM of 83,982,905 is 73762930.

GCF of Denominators means GCF of 386,789,194 as per the given fractions.

GCF of 386,789,194 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,982,905

LCM of Fractions 83/386,982/789,905/194 is 73762930

Given numbers has no common factors except 1. So, there LCM is their product i.e 73762930

Least Common Multiple of 83,982,905 with GCF Formula

Least Common Multiple of 83,982,905 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 83,982,905 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,982,905) = 1

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

GCF(83,982,905) x common factors =1 x 1 = 1

LCM(83,982,905) = ( 83 × 982 × 905 ) / 1

LCM(83,982,905) = 73762930 / 1

LCM(83,982,905) = 73762930


Lets's calculate GCF of 386,789,194

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 73762930/1

Therefore the LCM of Fractions 83/386,982/789,905/194 is 73762930

Greatest Common Factor of 386,789,194 By Matching Biggest Common Factor Method

Greatest Common Factor of 386,789,194 By Matching Biggest Common Factor Method

Factors of 386

List of positive integer factors of 386 that divides 386 without a remainder.

1,2,193,386

Factors of 789

List of positive integer factors of 789 that divides 789 without a remainder.

1,3,263,789

Factors of 194

List of positive integer factors of 194 that divides 194 without a remainder.

1,2,97,194

Greatest Common Factor

We found the factors 386,789,194 . The biggest common factor number is the GCF number.
So the greatest common factor 386,789,194 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 83/386, 982/789, 905/194

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 83/386, 982/789, 905/194?

Answer: LCM of Numerators as per given numbers 83/386, 982/789, 905/194 is

LCM of Numerators i.e. for 83,982,905 is 73762930

GCF of denominators i.e. for 386,789,194 is 1.

Thus, LCM of Fractions is 73762930.Finally, LCM of Fractions for 83/386, 982/789, 905/194 is 73762930.