Least Common Multiple of 17/49, 903/40, 572/694

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 17/49, 903/40, 572/694 quickly i.e. 8780772 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/49, 903/40, 572/694 is 8780772.

LCM(17/49, 903/40, 572/694) = 8780772

LCM of 17/49, 903/40, 572/694

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 17/49,903/40,572/694

Given numbers are 17/49,903/40,572/694

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 17,903,572

Least Common Multiple of Numerators i.e. LCM of 17,903,572 is 8780772.

GCF of Denominators means GCF of 49,40,694 as per the given fractions.

GCF of 49,40,694 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,903,572

LCM of Fractions 17/49,903/40,572/694 is 8780772

Given numbers has no common factors except 1. So, there LCM is their product i.e 8780772

Least Common Multiple of 17,903,572 with GCF Formula

Least Common Multiple of 17,903,572 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 17,903,572 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,903,572) = 1

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

GCF(17,903,572) x common factors =1 x 1 = 1

LCM(17,903,572) = ( 17 × 903 × 572 ) / 1

LCM(17,903,572) = 8780772 / 1

LCM(17,903,572) = 8780772


Lets's calculate GCF of 49,40,694

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8780772/1

Therefore the LCM of Fractions 17/49,903/40,572/694 is 8780772

Greatest Common Factor of 49,40,694 By Matching Biggest Common Factor Method

Greatest Common Factor of 49,40,694 By Matching Biggest Common Factor Method

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

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 694

List of positive integer factors of 694 that divides 694 without a remainder.

1,2,347,694

Greatest Common Factor

We found the factors 49,40,694 . The biggest common factor number is the GCF number.
So the greatest common factor 49,40,694 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 17/49, 903/40, 572/694

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 17/49, 903/40, 572/694?

Answer: LCM of Numerators as per given numbers 17/49, 903/40, 572/694 is

LCM of Numerators i.e. for 17,903,572 is 8780772

GCF of denominators i.e. for 49,40,694 is 1.

Thus, LCM of Fractions is 8780772.Finally, LCM of Fractions for 17/49, 903/40, 572/694 is 8780772.