Least Common Multiple of 74/985, 512/460, 390/318

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/985, 512/460, 390/318 quickly i.e. 3694080 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/985, 512/460, 390/318 is 3694080.

LCM(74/985, 512/460, 390/318) = 3694080

LCM of 74/985, 512/460, 390/318

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 74/985,512/460,390/318

Given numbers are 74/985,512/460,390/318

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 74,512,390

Least Common Multiple of Numerators i.e. LCM of 74,512,390 is 3694080.

GCF of Denominators means GCF of 985,460,318 as per the given fractions.

GCF of 985,460,318 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,512,390

LCM of Fractions 74/985,512/460,390/318 is 3694080

2 74, 512, 390
37, 256, 195

∴ So the LCM of the given numbers is 2 x 37 x 256 x 195 = 3694080

Least Common Multiple of 74,512,390 with GCF Formula

Least Common Multiple of 74,512,390 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 74,512,390 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,512,390) = 2

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

GCF(74,512,390) x common factors =2 x 2 = 4

LCM(74,512,390) = ( 74 × 512 × 390 ) / 4

LCM(74,512,390) = 14776320 / 4

LCM(74,512,390) = 3694080


Lets's calculate GCF of 985,460,318

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3694080/1

Therefore the LCM of Fractions 74/985,512/460,390/318 is 3694080

Greatest Common Factor of 985,460,318 By Matching Biggest Common Factor Method

Greatest Common Factor of 985,460,318 By Matching Biggest Common Factor Method

Factors of 985

List of positive integer factors of 985 that divides 985 without a remainder.

1,5,197,985

Factors of 460

List of positive integer factors of 460 that divides 460 without a remainder.

1,2,4,5,10,20,23,46,92,115,230,460

Factors of 318

List of positive integer factors of 318 that divides 318 without a remainder.

1,2,3,6,53,106,159,318

Greatest Common Factor

We found the factors 985,460,318 . The biggest common factor number is the GCF number.
So the greatest common factor 985,460,318 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 74/985, 512/460, 390/318

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 74/985, 512/460, 390/318?

Answer: LCM of Numerators as per given numbers 74/985, 512/460, 390/318 is

LCM of Numerators i.e. for 74,512,390 is 3694080

GCF of denominators i.e. for 985,460,318 is 1.

Thus, LCM of Fractions is 3694080.Finally, LCM of Fractions for 74/985, 512/460, 390/318 is 3694080.