Least Common Multiple of 55/82, 34/16, 387/626

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 55/82, 34/16, 387/626 quickly i.e. 361845 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 55/82, 34/16, 387/626 is 361845.

LCM(55/82, 34/16, 387/626) = 361845

LCM of 55/82, 34/16, 387/626

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 55/82,34/16,387/626

Given numbers are 55/82,34/16,387/626

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 55,34,387

Least Common Multiple of Numerators i.e. LCM of 55,34,387 is 723690.

GCF of Denominators means GCF of 82,16,626 as per the given fractions.

GCF of 82,16,626 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,34,387

LCM of Fractions 55/82,34/16,387/626 is 361845

Given numbers has no common factors except 1. So, there LCM is their product i.e 723690

Least Common Multiple of 55,34,387 with GCF Formula

Least Common Multiple of 55,34,387 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 55,34,387 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,34,387) = 1

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

GCF(55,34,387) x common factors =1 x 1 = 1

LCM(55,34,387) = ( 55 × 34 × 387 ) / 1

LCM(55,34,387) = 723690 / 1

LCM(55,34,387) = 723690


Lets's calculate GCF of 82,16,626

2 82, 16, 626
41, 8, 313

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 723690/2

Therefore the LCM of Fractions 55/82,34/16,387/626 is 361845

Greatest Common Factor of 82,16,626 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,16,626 By Matching Biggest Common Factor Method

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 626

List of positive integer factors of 626 that divides 626 without a remainder.

1,2,313,626

Greatest Common Factor

We found the factors 82,16,626 . The biggest common factor number is the GCF number.
So the greatest common factor 82,16,626 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 55/82, 34/16, 387/626

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 55/82, 34/16, 387/626?

Answer: LCM of Numerators as per given numbers 55/82, 34/16, 387/626 is

LCM of Numerators i.e. for 55,34,387 is 723690

GCF of denominators i.e. for 82,16,626 is 2.

Thus, LCM of Fractions is 361845.Finally, LCM of Fractions for 55/82, 34/16, 387/626 is 361845.