Least Common Multiple of 603/15, 974/40, 493/516

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 603/15, 974/40, 493/516 quickly i.e. 289549746 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 603/15, 974/40, 493/516 is 289549746.

LCM(603/15, 974/40, 493/516) = 289549746

LCM of 603/15, 974/40, 493/516

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 603/15,974/40,493/516

Given numbers are 603/15,974/40,493/516

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 603,974,493

Least Common Multiple of Numerators i.e. LCM of 603,974,493 is 289549746.

GCF of Denominators means GCF of 15,40,516 as per the given fractions.

GCF of 15,40,516 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 603,974,493

LCM of Fractions 603/15,974/40,493/516 is 289549746

Given numbers has no common factors except 1. So, there LCM is their product i.e 289549746

Least Common Multiple of 603,974,493 with GCF Formula

Least Common Multiple of 603,974,493 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 603,974,493 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(603,974,493) = 1

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

GCF(603,974,493) x common factors =1 x 1 = 1

LCM(603,974,493) = ( 603 × 974 × 493 ) / 1

LCM(603,974,493) = 289549746 / 1

LCM(603,974,493) = 289549746


Lets's calculate GCF of 15,40,516

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 289549746/1

Therefore the LCM of Fractions 603/15,974/40,493/516 is 289549746

Greatest Common Factor of 15,40,516 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,40,516 By Matching Biggest Common Factor Method

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 516

List of positive integer factors of 516 that divides 516 without a remainder.

1,2,3,4,6,12,43,86,129,172,258,516

Greatest Common Factor

We found the factors 15,40,516 . The biggest common factor number is the GCF number.
So the greatest common factor 15,40,516 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 603/15, 974/40, 493/516

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 603/15, 974/40, 493/516?

Answer: LCM of Numerators as per given numbers 603/15, 974/40, 493/516 is

LCM of Numerators i.e. for 603,974,493 is 289549746

GCF of denominators i.e. for 15,40,516 is 1.

Thus, LCM of Fractions is 289549746.Finally, LCM of Fractions for 603/15, 974/40, 493/516 is 289549746.