Least Common Multiple of 82/106, 794/424, 277/452

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/106, 794/424, 277/452 quickly i.e. 4508729 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/106, 794/424, 277/452 is 4508729.

LCM(82/106, 794/424, 277/452) = 4508729

LCM of 82/106, 794/424, 277/452

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 82/106,794/424,277/452

Given numbers are 82/106,794/424,277/452

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 82,794,277

Least Common Multiple of Numerators i.e. LCM of 82,794,277 is 9017458.

GCF of Denominators means GCF of 106,424,452 as per the given fractions.

GCF of 106,424,452 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,794,277

LCM of Fractions 82/106,794/424,277/452 is 4508729

2 82, 794, 277
41, 397, 277

∴ So the LCM of the given numbers is 2 x 41 x 397 x 277 = 9017458

Least Common Multiple of 82,794,277 with GCF Formula

Least Common Multiple of 82,794,277 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 82,794,277 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,794,277) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(82,794,277) x common factors =1 x 2 = 2

LCM(82,794,277) = ( 82 × 794 × 277 ) / 2

LCM(82,794,277) = 18034916 / 2

LCM(82,794,277) = 9017458


Lets's calculate GCF of 106,424,452

2 106, 424, 452
53, 212, 226

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9017458/2

Therefore the LCM of Fractions 82/106,794/424,277/452 is 4508729

Greatest Common Factor of 106,424,452 By Matching Biggest Common Factor Method

Greatest Common Factor of 106,424,452 By Matching Biggest Common Factor Method

Factors of 106

List of positive integer factors of 106 that divides 106 without a remainder.

1,2,53,106

Factors of 424

List of positive integer factors of 424 that divides 424 without a remainder.

1,2,4,8,53,106,212,424

Factors of 452

List of positive integer factors of 452 that divides 452 without a remainder.

1,2,4,113,226,452

Greatest Common Factor

We found the factors 106,424,452 . The biggest common factor number is the GCF number.
So the greatest common factor 106,424,452 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 82/106, 794/424, 277/452

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 82/106, 794/424, 277/452?

Answer: LCM of Numerators as per given numbers 82/106, 794/424, 277/452 is

LCM of Numerators i.e. for 82,794,277 is 9017458

GCF of denominators i.e. for 106,424,452 is 2.

Thus, LCM of Fractions is 4508729.Finally, LCM of Fractions for 82/106, 794/424, 277/452 is 4508729.