Least Common Multiple of 328/63, 342/51, 221/888

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 328/63, 342/51, 221/888 quickly i.e. 4131816 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 328/63, 342/51, 221/888 is 4131816.

LCM(328/63, 342/51, 221/888) = 4131816

LCM of 328/63, 342/51, 221/888

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 328/63,342/51,221/888

Given numbers are 328/63,342/51,221/888

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 328,342,221

Least Common Multiple of Numerators i.e. LCM of 328,342,221 is 12395448.

GCF of Denominators means GCF of 63,51,888 as per the given fractions.

GCF of 63,51,888 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 328,342,221

LCM of Fractions 328/63,342/51,221/888 is 4131816

2 328, 342, 221
164, 171, 221

∴ So the LCM of the given numbers is 2 x 164 x 171 x 221 = 12395448

Least Common Multiple of 328,342,221 with GCF Formula

Least Common Multiple of 328,342,221 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 328,342,221 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(328,342,221) = 1

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

GCF(328,342,221) x common factors =1 x 2 = 2

LCM(328,342,221) = ( 328 × 342 × 221 ) / 2

LCM(328,342,221) = 24790896 / 2

LCM(328,342,221) = 12395448


Lets's calculate GCF of 63,51,888

3 63, 51, 888
21, 17, 296

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12395448/3

Therefore the LCM of Fractions 328/63,342/51,221/888 is 4131816

Greatest Common Factor of 63,51,888 By Matching Biggest Common Factor Method

Greatest Common Factor of 63,51,888 By Matching Biggest Common Factor Method

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 888

List of positive integer factors of 888 that divides 888 without a remainder.

1,2,3,4,6,8,12,24,37,74,111,148,222,296,444,888

Greatest Common Factor

We found the factors 63,51,888 . The biggest common factor number is the GCF number.
So the greatest common factor 63,51,888 is 3.


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 328/63, 342/51, 221/888

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 328/63, 342/51, 221/888?

Answer: LCM of Numerators as per given numbers 328/63, 342/51, 221/888 is

LCM of Numerators i.e. for 328,342,221 is 12395448

GCF of denominators i.e. for 63,51,888 is 3.

Thus, LCM of Fractions is 4131816.Finally, LCM of Fractions for 328/63, 342/51, 221/888 is 4131816.