Least Common Multiple of 17/417, 996/176, 790/474

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 17/417, 996/176, 790/474 quickly i.e. 6688140 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/417, 996/176, 790/474 is 6688140.

LCM(17/417, 996/176, 790/474) = 6688140

LCM of 17/417, 996/176, 790/474

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 17/417,996/176,790/474

Given numbers are 17/417,996/176,790/474

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 17,996,790

Least Common Multiple of Numerators i.e. LCM of 17,996,790 is 6688140.

GCF of Denominators means GCF of 417,176,474 as per the given fractions.

GCF of 417,176,474 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,996,790

LCM of Fractions 17/417,996/176,790/474 is 6688140

2 17, 996, 790
17, 498, 395

∴ So the LCM of the given numbers is 2 x 17 x 498 x 395 = 6688140

Least Common Multiple of 17,996,790 with GCF Formula

Least Common Multiple of 17,996,790 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 17,996,790 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,996,790) = 1

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

GCF(17,996,790) x common factors =1 x 2 = 2

LCM(17,996,790) = ( 17 × 996 × 790 ) / 2

LCM(17,996,790) = 13376280 / 2

LCM(17,996,790) = 6688140


Lets's calculate GCF of 417,176,474

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6688140/1

Therefore the LCM of Fractions 17/417,996/176,790/474 is 6688140

Greatest Common Factor of 417,176,474 By Matching Biggest Common Factor Method

Greatest Common Factor of 417,176,474 By Matching Biggest Common Factor Method

Factors of 417

List of positive integer factors of 417 that divides 417 without a remainder.

1,3,139,417

Factors of 176

List of positive integer factors of 176 that divides 176 without a remainder.

1,2,4,8,11,16,22,44,88,176

Factors of 474

List of positive integer factors of 474 that divides 474 without a remainder.

1,2,3,6,79,158,237,474

Greatest Common Factor

We found the factors 417,176,474 . The biggest common factor number is the GCF number.
So the greatest common factor 417,176,474 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 17/417, 996/176, 790/474

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 17/417, 996/176, 790/474?

Answer: LCM of Numerators as per given numbers 17/417, 996/176, 790/474 is

LCM of Numerators i.e. for 17,996,790 is 6688140

GCF of denominators i.e. for 417,176,474 is 1.

Thus, LCM of Fractions is 6688140.Finally, LCM of Fractions for 17/417, 996/176, 790/474 is 6688140.