Least Common Multiple of 514/352, 558/481, 915/603

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 514/352, 558/481, 915/603 quickly i.e. 43738830 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 514/352, 558/481, 915/603 is 43738830.

LCM(514/352, 558/481, 915/603) = 43738830

LCM of 514/352, 558/481, 915/603

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 514/352,558/481,915/603

Given numbers are 514/352,558/481,915/603

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 514,558,915

Least Common Multiple of Numerators i.e. LCM of 514,558,915 is 43738830.

GCF of Denominators means GCF of 352,481,603 as per the given fractions.

GCF of 352,481,603 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 514,558,915

LCM of Fractions 514/352,558/481,915/603 is 43738830

2 514, 558, 915
3 257, 279, 915
257, 93, 305

∴ So the LCM of the given numbers is 2 x 3 x 257 x 93 x 305 = 43738830

Least Common Multiple of 514,558,915 with GCF Formula

Least Common Multiple of 514,558,915 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 514,558,915 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(514,558,915) = 1

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

GCF(514,558,915) x common factors =1 x 6 = 6

LCM(514,558,915) = ( 514 × 558 × 915 ) / 6

LCM(514,558,915) = 262432980 / 6

LCM(514,558,915) = 43738830


Lets's calculate GCF of 352,481,603

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 43738830/1

Therefore the LCM of Fractions 514/352,558/481,915/603 is 43738830

Greatest Common Factor of 352,481,603 By Matching Biggest Common Factor Method

Greatest Common Factor of 352,481,603 By Matching Biggest Common Factor Method

Factors of 352

List of positive integer factors of 352 that divides 352 without a remainder.

1,2,4,8,11,16,22,32,44,88,176,352

Factors of 481

List of positive integer factors of 481 that divides 481 without a remainder.

1,13,37,481

Factors of 603

List of positive integer factors of 603 that divides 603 without a remainder.

1,3,9,67,201,603

Greatest Common Factor

We found the factors 352,481,603 . The biggest common factor number is the GCF number.
So the greatest common factor 352,481,603 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 514/352, 558/481, 915/603

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 514/352, 558/481, 915/603?

Answer: LCM of Numerators as per given numbers 514/352, 558/481, 915/603 is

LCM of Numerators i.e. for 514,558,915 is 43738830

GCF of denominators i.e. for 352,481,603 is 1.

Thus, LCM of Fractions is 43738830.Finally, LCM of Fractions for 514/352, 558/481, 915/603 is 43738830.