Least Common Multiple of 17/674, 82/355, 990/398

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 17/674, 82/355, 990/398 quickly i.e. 690030 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/674, 82/355, 990/398 is 690030.

LCM(17/674, 82/355, 990/398) = 690030

LCM of 17/674, 82/355, 990/398

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 17/674,82/355,990/398

Given numbers are 17/674,82/355,990/398

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 17,82,990

Least Common Multiple of Numerators i.e. LCM of 17,82,990 is 690030.

GCF of Denominators means GCF of 674,355,398 as per the given fractions.

GCF of 674,355,398 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,82,990

LCM of Fractions 17/674,82/355,990/398 is 690030

2 17, 82, 990
17, 41, 495

∴ So the LCM of the given numbers is 2 x 17 x 41 x 495 = 690030

Least Common Multiple of 17,82,990 with GCF Formula

Least Common Multiple of 17,82,990 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 17,82,990 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,82,990) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(17,82,990) x common factors =1 x 2 = 2

LCM(17,82,990) = ( 17 × 82 × 990 ) / 2

LCM(17,82,990) = 1380060 / 2

LCM(17,82,990) = 690030


Lets's calculate GCF of 674,355,398

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 690030/1

Therefore the LCM of Fractions 17/674,82/355,990/398 is 690030

Greatest Common Factor of 674,355,398 By Matching Biggest Common Factor Method

Greatest Common Factor of 674,355,398 By Matching Biggest Common Factor Method

Factors of 674

List of positive integer factors of 674 that divides 674 without a remainder.

1,2,337,674

Factors of 355

List of positive integer factors of 355 that divides 355 without a remainder.

1,5,71,355

Factors of 398

List of positive integer factors of 398 that divides 398 without a remainder.

1,2,199,398

Greatest Common Factor

We found the factors 674,355,398 . The biggest common factor number is the GCF number.
So the greatest common factor 674,355,398 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 17/674, 82/355, 990/398

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 17/674, 82/355, 990/398?

Answer: LCM of Numerators as per given numbers 17/674, 82/355, 990/398 is

LCM of Numerators i.e. for 17,82,990 is 690030

GCF of denominators i.e. for 674,355,398 is 1.

Thus, LCM of Fractions is 690030.Finally, LCM of Fractions for 17/674, 82/355, 990/398 is 690030.