Least Common Multiple of 17/989, 35/673, 253/392

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 17/989, 35/673, 253/392 quickly i.e. 150535 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/989, 35/673, 253/392 is 150535.

LCM(17/989, 35/673, 253/392) = 150535

LCM of 17/989, 35/673, 253/392

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 17/989,35/673,253/392

Given numbers are 17/989,35/673,253/392

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 17,35,253

Least Common Multiple of Numerators i.e. LCM of 17,35,253 is 150535.

GCF of Denominators means GCF of 989,673,392 as per the given fractions.

GCF of 989,673,392 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,35,253

LCM of Fractions 17/989,35/673,253/392 is 150535

Given numbers has no common factors except 1. So, there LCM is their product i.e 150535

Least Common Multiple of 17,35,253 with GCF Formula

Least Common Multiple of 17,35,253 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 17,35,253 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,35,253) = 1

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

GCF(17,35,253) x common factors =1 x 1 = 1

LCM(17,35,253) = ( 17 × 35 × 253 ) / 1

LCM(17,35,253) = 150535 / 1

LCM(17,35,253) = 150535


Lets's calculate GCF of 989,673,392

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 150535/1

Therefore the LCM of Fractions 17/989,35/673,253/392 is 150535

Greatest Common Factor of 989,673,392 By Matching Biggest Common Factor Method

Greatest Common Factor of 989,673,392 By Matching Biggest Common Factor Method

Factors of 989

List of positive integer factors of 989 that divides 989 without a remainder.

1,23,43,989

Factors of 673

List of positive integer factors of 673 that divides 673 without a remainder.

1,673

Factors of 392

List of positive integer factors of 392 that divides 392 without a remainder.

1,2,4,7,8,14,28,49,56,98,196,392

Greatest Common Factor

We found the factors 989,673,392 . The biggest common factor number is the GCF number.
So the greatest common factor 989,673,392 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 17/989, 35/673, 253/392

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 17/989, 35/673, 253/392?

Answer: LCM of Numerators as per given numbers 17/989, 35/673, 253/392 is

LCM of Numerators i.e. for 17,35,253 is 150535

GCF of denominators i.e. for 989,673,392 is 1.

Thus, LCM of Fractions is 150535.Finally, LCM of Fractions for 17/989, 35/673, 253/392 is 150535.