Least Common Multiple of 17/80, 98/628, 544/498

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 17/80, 98/628, 544/498 quickly i.e. 13328 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/80, 98/628, 544/498 is 13328.

LCM(17/80, 98/628, 544/498) = 13328

LCM of 17/80, 98/628, 544/498

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 17/80,98/628,544/498

Given numbers are 17/80,98/628,544/498

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 17,98,544

Least Common Multiple of Numerators i.e. LCM of 17,98,544 is 26656.

GCF of Denominators means GCF of 80,628,498 as per the given fractions.

GCF of 80,628,498 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,98,544

LCM of Fractions 17/80,98/628,544/498 is 13328

2 17, 98, 544
17 17, 49, 272
1, 49, 16

∴ So the LCM of the given numbers is 2 x 17 x 1 x 49 x 16 = 26656

Least Common Multiple of 17,98,544 with GCF Formula

Least Common Multiple of 17,98,544 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 17,98,544 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,98,544) = 1

common factors(in case of two or more numbers have common factors) = 34

GCF(17,98,544) x common factors =1 x 34 = 34

LCM(17,98,544) = ( 17 × 98 × 544 ) / 34

LCM(17,98,544) = 906304 / 34

LCM(17,98,544) = 26656


Lets's calculate GCF of 80,628,498

2 80, 628, 498
40, 314, 249

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26656/2

Therefore the LCM of Fractions 17/80,98/628,544/498 is 13328

Greatest Common Factor of 80,628,498 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,628,498 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 628

List of positive integer factors of 628 that divides 628 without a remainder.

1,2,4,157,314,628

Factors of 498

List of positive integer factors of 498 that divides 498 without a remainder.

1,2,3,6,83,166,249,498

Greatest Common Factor

We found the factors 80,628,498 . The biggest common factor number is the GCF number.
So the greatest common factor 80,628,498 is 2.


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 17/80, 98/628, 544/498

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 17/80, 98/628, 544/498?

Answer: LCM of Numerators as per given numbers 17/80, 98/628, 544/498 is

LCM of Numerators i.e. for 17,98,544 is 26656

GCF of denominators i.e. for 80,628,498 is 2.

Thus, LCM of Fractions is 13328.Finally, LCM of Fractions for 17/80, 98/628, 544/498 is 13328.