Least Common Multiple of 318/759, 114/730, 482/290

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 318/759, 114/730, 482/290 quickly i.e. 1456122 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 318/759, 114/730, 482/290 is 1456122.

LCM(318/759, 114/730, 482/290) = 1456122

LCM of 318/759, 114/730, 482/290

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 318/759,114/730,482/290

Given numbers are 318/759,114/730,482/290

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 318,114,482

Least Common Multiple of Numerators i.e. LCM of 318,114,482 is 1456122.

GCF of Denominators means GCF of 759,730,290 as per the given fractions.

GCF of 759,730,290 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 318,114,482

LCM of Fractions 318/759,114/730,482/290 is 1456122

2 318, 114, 482
3 159, 57, 241
53, 19, 241

∴ So the LCM of the given numbers is 2 x 3 x 53 x 19 x 241 = 1456122

Least Common Multiple of 318,114,482 with GCF Formula

Least Common Multiple of 318,114,482 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 318,114,482 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(318,114,482) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(318,114,482) x common factors =2 x 6 = 12

LCM(318,114,482) = ( 318 × 114 × 482 ) / 12

LCM(318,114,482) = 17473464 / 12

LCM(318,114,482) = 1456122


Lets's calculate GCF of 759,730,290

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1456122/1

Therefore the LCM of Fractions 318/759,114/730,482/290 is 1456122

Greatest Common Factor of 759,730,290 By Matching Biggest Common Factor Method

Greatest Common Factor of 759,730,290 By Matching Biggest Common Factor Method

Factors of 759

List of positive integer factors of 759 that divides 759 without a remainder.

1,3,11,23,33,69,253,759

Factors of 730

List of positive integer factors of 730 that divides 730 without a remainder.

1,2,5,10,73,146,365,730

Factors of 290

List of positive integer factors of 290 that divides 290 without a remainder.

1,2,5,10,29,58,145,290

Greatest Common Factor

We found the factors 759,730,290 . The biggest common factor number is the GCF number.
So the greatest common factor 759,730,290 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 318/759, 114/730, 482/290

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 318/759, 114/730, 482/290?

Answer: LCM of Numerators as per given numbers 318/759, 114/730, 482/290 is

LCM of Numerators i.e. for 318,114,482 is 1456122

GCF of denominators i.e. for 759,730,290 is 1.

Thus, LCM of Fractions is 1456122.Finally, LCM of Fractions for 318/759, 114/730, 482/290 is 1456122.