Least Common Multiple of 8/506, 46/450, 74/898

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8/506, 46/450, 74/898 quickly i.e. 3404 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8/506, 46/450, 74/898 is 3404.

LCM(8/506, 46/450, 74/898) = 3404

LCM of 8/506, 46/450, 74/898

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 8/506,46/450,74/898

Given numbers are 8/506,46/450,74/898

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 8,46,74

Least Common Multiple of Numerators i.e. LCM of 8,46,74 is 6808.

GCF of Denominators means GCF of 506,450,898 as per the given fractions.

GCF of 506,450,898 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8,46,74

LCM of Fractions 8/506,46/450,74/898 is 3404

2 8, 46, 74
4, 23, 37

∴ So the LCM of the given numbers is 2 x 4 x 23 x 37 = 6808

Least Common Multiple of 8,46,74 with GCF Formula

Least Common Multiple of 8,46,74 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 8,46,74 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8,46,74) = 2

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

GCF(8,46,74) x common factors =2 x 2 = 4

LCM(8,46,74) = ( 8 × 46 × 74 ) / 4

LCM(8,46,74) = 27232 / 4

LCM(8,46,74) = 6808


Lets's calculate GCF of 506,450,898

2 506, 450, 898
253, 225, 449

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6808/2

Therefore the LCM of Fractions 8/506,46/450,74/898 is 3404

Greatest Common Factor of 506,450,898 By Matching Biggest Common Factor Method

Greatest Common Factor of 506,450,898 By Matching Biggest Common Factor Method

Factors of 506

List of positive integer factors of 506 that divides 506 without a remainder.

1,2,11,22,23,46,253,506

Factors of 450

List of positive integer factors of 450 that divides 450 without a remainder.

1,2,3,5,6,9,10,15,18,25,30,45,50,75,90,150,225,450

Factors of 898

List of positive integer factors of 898 that divides 898 without a remainder.

1,2,449,898

Greatest Common Factor

We found the factors 506,450,898 . The biggest common factor number is the GCF number.
So the greatest common factor 506,450,898 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 8/506, 46/450, 74/898

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 8/506, 46/450, 74/898?

Answer: LCM of Numerators as per given numbers 8/506, 46/450, 74/898 is

LCM of Numerators i.e. for 8,46,74 is 6808

GCF of denominators i.e. for 506,450,898 is 2.

Thus, LCM of Fractions is 3404.Finally, LCM of Fractions for 8/506, 46/450, 74/898 is 3404.