Least Common Multiple of 17/872, 42/492, 624/467

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 17/872, 42/492, 624/467 quickly i.e. 74256 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/872, 42/492, 624/467 is 74256.

LCM(17/872, 42/492, 624/467) = 74256

LCM of 17/872, 42/492, 624/467

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 17/872,42/492,624/467

Given numbers are 17/872,42/492,624/467

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 17,42,624

Least Common Multiple of Numerators i.e. LCM of 17,42,624 is 74256.

GCF of Denominators means GCF of 872,492,467 as per the given fractions.

GCF of 872,492,467 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,42,624

LCM of Fractions 17/872,42/492,624/467 is 74256

2 17, 42, 624
3 17, 21, 312
17, 7, 104

∴ So the LCM of the given numbers is 2 x 3 x 17 x 7 x 104 = 74256

Least Common Multiple of 17,42,624 with GCF Formula

Least Common Multiple of 17,42,624 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 17,42,624 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,42,624) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(17,42,624) x common factors =1 x 6 = 6

LCM(17,42,624) = ( 17 × 42 × 624 ) / 6

LCM(17,42,624) = 445536 / 6

LCM(17,42,624) = 74256


Lets's calculate GCF of 872,492,467

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 74256/1

Therefore the LCM of Fractions 17/872,42/492,624/467 is 74256

Greatest Common Factor of 872,492,467 By Matching Biggest Common Factor Method

Greatest Common Factor of 872,492,467 By Matching Biggest Common Factor Method

Factors of 872

List of positive integer factors of 872 that divides 872 without a remainder.

1,2,4,8,109,218,436,872

Factors of 492

List of positive integer factors of 492 that divides 492 without a remainder.

1,2,3,4,6,12,41,82,123,164,246,492

Factors of 467

List of positive integer factors of 467 that divides 467 without a remainder.

1,467

Greatest Common Factor

We found the factors 872,492,467 . The biggest common factor number is the GCF number.
So the greatest common factor 872,492,467 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 17/872, 42/492, 624/467

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 17/872, 42/492, 624/467?

Answer: LCM of Numerators as per given numbers 17/872, 42/492, 624/467 is

LCM of Numerators i.e. for 17,42,624 is 74256

GCF of denominators i.e. for 872,492,467 is 1.

Thus, LCM of Fractions is 74256.Finally, LCM of Fractions for 17/872, 42/492, 624/467 is 74256.