Least Common Multiple of 598/392, 5018/408

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 598/392, 5018/408 quickly i.e. 115414/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 598/392, 5018/408 is 115414/8.

LCM(598/392, 5018/408) = 115414/8

LCM of 598/392, 5018/408

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 598/392,5018/408

Given numbers are 598/392,5018/408

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 598,5018

Least Common Multiple of Numerators i.e. LCM of 598,5018 is 115414.

GCF of Denominators means GCF of 392,408 as per the given fractions.

GCF of 392,408 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 598,5018

LCM of Fractions 598/392,5018/408 is 115414/8

2 598, 5018
13 299, 2509
23, 193

∴ So the LCM of the given numbers is 2 x 13 x 23 x 193 = 115414

Least Common Multiple of 598,5018 with GCF Formula

Least Common Multiple of 598,5018 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 598,5018 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(598,5018) = 26

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

GCF(598,5018) x common factors =26 x 1 = 26

LCM(598,5018) = ( 598 × 5018 ) / 26

LCM(598,5018) = 3000764 / 26

LCM(598,5018) = 115414


Lets's calculate GCF of 392,408

2 392, 408
2 196, 204
2 98, 102
49, 51

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 115414/8

Therefore the LCM of Fractions 598/392,5018/408 is 115414/8

Greatest Common Factor of 392,408 By Matching Biggest Common Factor Method

Greatest Common Factor of 392,408 By Matching Biggest Common Factor Method

Factors of 392

List of positive integer factors of 392 that divides 392 without a remainder.

1,2,4,7,8,14,28,49,56,98,196,392

Factors of 408

List of positive integer factors of 408 that divides 408 without a remainder.

1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408

Greatest Common Factor

We found the factors 392,408 . The biggest common factor number is the GCF number.
So the greatest common factor 392,408 is 8.


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 598/392, 5018/408

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 598/392, 5018/408?

Answer: LCM of Numerators as per given numbers 598/392, 5018/408 is

LCM of Numerators i.e. for 598,5018 is 115414

GCF of denominators i.e. for 392,408 is 8.

Thus, LCM of Fractions is 115414/8.Finally, LCM of Fractions for 598/392, 5018/408 is 115414/8.