Least Common Multiple of 616/360, 398/329, 352/373

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 616/360, 398/329, 352/373 quickly i.e. 490336 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 616/360, 398/329, 352/373 is 490336.

LCM(616/360, 398/329, 352/373) = 490336

LCM of 616/360, 398/329, 352/373

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 616/360,398/329,352/373

Given numbers are 616/360,398/329,352/373

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 616,398,352

Least Common Multiple of Numerators i.e. LCM of 616,398,352 is 490336.

GCF of Denominators means GCF of 360,329,373 as per the given fractions.

GCF of 360,329,373 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 616,398,352

LCM of Fractions 616/360,398/329,352/373 is 490336

2 616, 398, 352
2 308, 199, 176
2 154, 199, 88
11 77, 199, 44
7, 199, 4

∴ So the LCM of the given numbers is 2 x 2 x 2 x 11 x 7 x 199 x 4 = 490336

Least Common Multiple of 616,398,352 with GCF Formula

Least Common Multiple of 616,398,352 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 616,398,352 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(616,398,352) = 2

common factors(in case of two or more numbers have common factors) = 88

GCF(616,398,352) x common factors =2 x 88 = 176

LCM(616,398,352) = ( 616 × 398 × 352 ) / 176

LCM(616,398,352) = 86299136 / 176

LCM(616,398,352) = 490336


Lets's calculate GCF of 360,329,373

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 490336/1

Therefore the LCM of Fractions 616/360,398/329,352/373 is 490336

Greatest Common Factor of 360,329,373 By Matching Biggest Common Factor Method

Greatest Common Factor of 360,329,373 By Matching Biggest Common Factor Method

Factors of 360

List of positive integer factors of 360 that divides 360 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360

Factors of 329

List of positive integer factors of 329 that divides 329 without a remainder.

1,7,47,329

Factors of 373

List of positive integer factors of 373 that divides 373 without a remainder.

1,373

Greatest Common Factor

We found the factors 360,329,373 . The biggest common factor number is the GCF number.
So the greatest common factor 360,329,373 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 616/360, 398/329, 352/373

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 616/360, 398/329, 352/373?

Answer: LCM of Numerators as per given numbers 616/360, 398/329, 352/373 is

LCM of Numerators i.e. for 616,398,352 is 490336

GCF of denominators i.e. for 360,329,373 is 1.

Thus, LCM of Fractions is 490336.Finally, LCM of Fractions for 616/360, 398/329, 352/373 is 490336.