Least Common Multiple of 598/432, 188/142

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 598/432, 188/142 quickly i.e. 28106 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 598/432, 188/142 is 28106.

LCM(598/432, 188/142) = 28106

LCM of 598/432, 188/142

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 598/432,188/142

Given numbers are 598/432,188/142

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 598,188

Least Common Multiple of Numerators i.e. LCM of 598,188 is 56212.

GCF of Denominators means GCF of 432,142 as per the given fractions.

GCF of 432,142 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 598,188

LCM of Fractions 598/432,188/142 is 28106

2 598, 188
299, 94

∴ So the LCM of the given numbers is 2 x 299 x 94 = 56212

Least Common Multiple of 598,188 with GCF Formula

Least Common Multiple of 598,188 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 598,188 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(598,188) = 2

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

GCF(598,188) x common factors =2 x 1 = 2

LCM(598,188) = ( 598 × 188 ) / 2

LCM(598,188) = 112424 / 2

LCM(598,188) = 56212


Lets's calculate GCF of 432,142

2 432, 142
216, 71

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 56212/2

Therefore the LCM of Fractions 598/432,188/142 is 28106

Greatest Common Factor of 432,142 By Matching Biggest Common Factor Method

Greatest Common Factor of 432,142 By Matching Biggest Common Factor Method

Factors of 432

List of positive integer factors of 432 that divides 432 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,108,144,216,432

Factors of 142

List of positive integer factors of 142 that divides 142 without a remainder.

1,2,71,142

Greatest Common Factor

We found the factors 432,142 . The biggest common factor number is the GCF number.
So the greatest common factor 432,142 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 598/432, 188/142

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 598/432, 188/142?

Answer: LCM of Numerators as per given numbers 598/432, 188/142 is

LCM of Numerators i.e. for 598,188 is 56212

GCF of denominators i.e. for 432,142 is 2.

Thus, LCM of Fractions is 28106.Finally, LCM of Fractions for 598/432, 188/142 is 28106.