Least Common Multiple of 84/313, 724/349, 860/274

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/313, 724/349, 860/274 quickly i.e. 3268860 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/313, 724/349, 860/274 is 3268860.

LCM(84/313, 724/349, 860/274) = 3268860

LCM of 84/313, 724/349, 860/274

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 84/313,724/349,860/274

Given numbers are 84/313,724/349,860/274

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 84,724,860

Least Common Multiple of Numerators i.e. LCM of 84,724,860 is 3268860.

GCF of Denominators means GCF of 313,349,274 as per the given fractions.

GCF of 313,349,274 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,724,860

LCM of Fractions 84/313,724/349,860/274 is 3268860

2 84, 724, 860
2 42, 362, 430
21, 181, 215

∴ So the LCM of the given numbers is 2 x 2 x 21 x 181 x 215 = 3268860

Least Common Multiple of 84,724,860 with GCF Formula

Least Common Multiple of 84,724,860 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 84,724,860 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,724,860) = 4

common factors(in case of two or more numbers have common factors) = 4

GCF(84,724,860) x common factors =4 x 4 = 16

LCM(84,724,860) = ( 84 × 724 × 860 ) / 16

LCM(84,724,860) = 52301760 / 16

LCM(84,724,860) = 3268860


Lets's calculate GCF of 313,349,274

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3268860/1

Therefore the LCM of Fractions 84/313,724/349,860/274 is 3268860

Greatest Common Factor of 313,349,274 By Matching Biggest Common Factor Method

Greatest Common Factor of 313,349,274 By Matching Biggest Common Factor Method

Factors of 313

List of positive integer factors of 313 that divides 313 without a remainder.

1,313

Factors of 349

List of positive integer factors of 349 that divides 349 without a remainder.

1,349

Factors of 274

List of positive integer factors of 274 that divides 274 without a remainder.

1,2,137,274

Greatest Common Factor

We found the factors 313,349,274 . The biggest common factor number is the GCF number.
So the greatest common factor 313,349,274 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 84/313, 724/349, 860/274

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 84/313, 724/349, 860/274?

Answer: LCM of Numerators as per given numbers 84/313, 724/349, 860/274 is

LCM of Numerators i.e. for 84,724,860 is 3268860

GCF of denominators i.e. for 313,349,274 is 1.

Thus, LCM of Fractions is 3268860.Finally, LCM of Fractions for 84/313, 724/349, 860/274 is 3268860.