Least Common Multiple of 82/18, 109/62, 377/646

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/18, 109/62, 377/646 quickly i.e. 1684813 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/18, 109/62, 377/646 is 1684813.

LCM(82/18, 109/62, 377/646) = 1684813

LCM of 82/18, 109/62, 377/646

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 82/18,109/62,377/646

Given numbers are 82/18,109/62,377/646

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 82,109,377

Least Common Multiple of Numerators i.e. LCM of 82,109,377 is 3369626.

GCF of Denominators means GCF of 18,62,646 as per the given fractions.

GCF of 18,62,646 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,109,377

LCM of Fractions 82/18,109/62,377/646 is 1684813

Given numbers has no common factors except 1. So, there LCM is their product i.e 3369626

Least Common Multiple of 82,109,377 with GCF Formula

Least Common Multiple of 82,109,377 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 82,109,377 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,109,377) = 1

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

GCF(82,109,377) x common factors =1 x 1 = 1

LCM(82,109,377) = ( 82 × 109 × 377 ) / 1

LCM(82,109,377) = 3369626 / 1

LCM(82,109,377) = 3369626


Lets's calculate GCF of 18,62,646

2 18, 62, 646
9, 31, 323

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3369626/2

Therefore the LCM of Fractions 82/18,109/62,377/646 is 1684813

Greatest Common Factor of 18,62,646 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,62,646 By Matching Biggest Common Factor Method

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 646

List of positive integer factors of 646 that divides 646 without a remainder.

1,2,17,19,34,38,323,646

Greatest Common Factor

We found the factors 18,62,646 . The biggest common factor number is the GCF number.
So the greatest common factor 18,62,646 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 82/18, 109/62, 377/646

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 82/18, 109/62, 377/646?

Answer: LCM of Numerators as per given numbers 82/18, 109/62, 377/646 is

LCM of Numerators i.e. for 82,109,377 is 3369626

GCF of denominators i.e. for 18,62,646 is 2.

Thus, LCM of Fractions is 1684813.Finally, LCM of Fractions for 82/18, 109/62, 377/646 is 1684813.