Least Common Multiple of 8/598, 67/360, 53/958

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8/598, 67/360, 53/958 quickly i.e. 14204 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8/598, 67/360, 53/958 is 14204.

LCM(8/598, 67/360, 53/958) = 14204

LCM of 8/598, 67/360, 53/958

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 8/598,67/360,53/958

Given numbers are 8/598,67/360,53/958

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 8,67,53

Least Common Multiple of Numerators i.e. LCM of 8,67,53 is 28408.

GCF of Denominators means GCF of 598,360,958 as per the given fractions.

GCF of 598,360,958 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8,67,53

LCM of Fractions 8/598,67/360,53/958 is 14204

Given numbers has no common factors except 1. So, there LCM is their product i.e 28408

Least Common Multiple of 8,67,53 with GCF Formula

Least Common Multiple of 8,67,53 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 8,67,53 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8,67,53) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(8,67,53) x common factors =1 x 1 = 1

LCM(8,67,53) = ( 8 × 67 × 53 ) / 1

LCM(8,67,53) = 28408 / 1

LCM(8,67,53) = 28408


Lets's calculate GCF of 598,360,958

2 598, 360, 958
299, 180, 479

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28408/2

Therefore the LCM of Fractions 8/598,67/360,53/958 is 14204

Greatest Common Factor of 598,360,958 By Matching Biggest Common Factor Method

Greatest Common Factor of 598,360,958 By Matching Biggest Common Factor Method

Factors of 598

List of positive integer factors of 598 that divides 598 without a remainder.

1,2,13,23,26,46,299,598

Factors of 360

List of positive integer factors of 360 that divides 360 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360

Factors of 958

List of positive integer factors of 958 that divides 958 without a remainder.

1,2,479,958

Greatest Common Factor

We found the factors 598,360,958 . The biggest common factor number is the GCF number.
So the greatest common factor 598,360,958 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 8/598, 67/360, 53/958

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 8/598, 67/360, 53/958?

Answer: LCM of Numerators as per given numbers 8/598, 67/360, 53/958 is

LCM of Numerators i.e. for 8,67,53 is 28408

GCF of denominators i.e. for 598,360,958 is 2.

Thus, LCM of Fractions is 14204.Finally, LCM of Fractions for 8/598, 67/360, 53/958 is 14204.