Least Common Multiple of 318/170, 6122/728

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 318/170, 6122/728 quickly i.e. 486699 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 318/170, 6122/728 is 486699.

LCM(318/170, 6122/728) = 486699

LCM of 318/170, 6122/728

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 318/170,6122/728

Given numbers are 318/170,6122/728

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 318,6122

Least Common Multiple of Numerators i.e. LCM of 318,6122 is 973398.

GCF of Denominators means GCF of 170,728 as per the given fractions.

GCF of 170,728 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 318,6122

LCM of Fractions 318/170,6122/728 is 486699

2 318, 6122
159, 3061

∴ So the LCM of the given numbers is 2 x 159 x 3061 = 973398

Least Common Multiple of 318,6122 with GCF Formula

Least Common Multiple of 318,6122 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 318,6122 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(318,6122) = 2

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

GCF(318,6122) x common factors =2 x 1 = 2

LCM(318,6122) = ( 318 × 6122 ) / 2

LCM(318,6122) = 1946796 / 2

LCM(318,6122) = 973398


Lets's calculate GCF of 170,728

2 170, 728
85, 364

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 973398/2

Therefore the LCM of Fractions 318/170,6122/728 is 486699

Greatest Common Factor of 170,728 By Matching Biggest Common Factor Method

Greatest Common Factor of 170,728 By Matching Biggest Common Factor Method

Factors of 170

List of positive integer factors of 170 that divides 170 without a remainder.

1,2,5,10,17,34,85,170

Factors of 728

List of positive integer factors of 728 that divides 728 without a remainder.

1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728

Greatest Common Factor

We found the factors 170,728 . The biggest common factor number is the GCF number.
So the greatest common factor 170,728 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 318/170, 6122/728

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 318/170, 6122/728?

Answer: LCM of Numerators as per given numbers 318/170, 6122/728 is

LCM of Numerators i.e. for 318,6122 is 973398

GCF of denominators i.e. for 170,728 is 2.

Thus, LCM of Fractions is 486699.Finally, LCM of Fractions for 318/170, 6122/728 is 486699.