Least Common Multiple of 32/510, 34/944, 188/342

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 32/510, 34/944, 188/342 quickly i.e. 12784 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 32/510, 34/944, 188/342 is 12784.

LCM(32/510, 34/944, 188/342) = 12784

LCM of 32/510, 34/944, 188/342

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 32/510,34/944,188/342

Given numbers are 32/510,34/944,188/342

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 32,34,188

Least Common Multiple of Numerators i.e. LCM of 32,34,188 is 25568.

GCF of Denominators means GCF of 510,944,342 as per the given fractions.

GCF of 510,944,342 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 32,34,188

LCM of Fractions 32/510,34/944,188/342 is 12784

2 32, 34, 188
2 16, 17, 94
8, 17, 47

∴ So the LCM of the given numbers is 2 x 2 x 8 x 17 x 47 = 25568

Least Common Multiple of 32,34,188 with GCF Formula

Least Common Multiple of 32,34,188 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 32,34,188 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,34,188) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(32,34,188) x common factors =2 x 4 = 8

LCM(32,34,188) = ( 32 × 34 × 188 ) / 8

LCM(32,34,188) = 204544 / 8

LCM(32,34,188) = 25568


Lets's calculate GCF of 510,944,342

2 510, 944, 342
255, 472, 171

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25568/2

Therefore the LCM of Fractions 32/510,34/944,188/342 is 12784

Greatest Common Factor of 510,944,342 By Matching Biggest Common Factor Method

Greatest Common Factor of 510,944,342 By Matching Biggest Common Factor Method

Factors of 510

List of positive integer factors of 510 that divides 510 without a remainder.

1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,510

Factors of 944

List of positive integer factors of 944 that divides 944 without a remainder.

1,2,4,8,16,59,118,236,472,944

Factors of 342

List of positive integer factors of 342 that divides 342 without a remainder.

1,2,3,6,9,18,19,38,57,114,171,342

Greatest Common Factor

We found the factors 510,944,342 . The biggest common factor number is the GCF number.
So the greatest common factor 510,944,342 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 32/510, 34/944, 188/342

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 32/510, 34/944, 188/342?

Answer: LCM of Numerators as per given numbers 32/510, 34/944, 188/342 is

LCM of Numerators i.e. for 32,34,188 is 25568

GCF of denominators i.e. for 510,944,342 is 2.

Thus, LCM of Fractions is 12784.Finally, LCM of Fractions for 32/510, 34/944, 188/342 is 12784.