Least Common Multiple of 27/976, 443/438, 432/417

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 27/976, 443/438, 432/417 quickly i.e. 191376 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 27/976, 443/438, 432/417 is 191376.

LCM(27/976, 443/438, 432/417) = 191376

LCM of 27/976, 443/438, 432/417

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 27/976,443/438,432/417

Given numbers are 27/976,443/438,432/417

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 27,443,432

Least Common Multiple of Numerators i.e. LCM of 27,443,432 is 191376.

GCF of Denominators means GCF of 976,438,417 as per the given fractions.

GCF of 976,438,417 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 27,443,432

LCM of Fractions 27/976,443/438,432/417 is 191376

3 27, 443, 432
3 9, 443, 144
3 3, 443, 48
1, 443, 16

∴ So the LCM of the given numbers is 3 x 3 x 3 x 1 x 443 x 16 = 191376

Least Common Multiple of 27,443,432 with GCF Formula

Least Common Multiple of 27,443,432 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 27,443,432 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,443,432) = 1

common factors(in case of two or more numbers have common factors) = 27

GCF(27,443,432) x common factors =1 x 27 = 27

LCM(27,443,432) = ( 27 × 443 × 432 ) / 27

LCM(27,443,432) = 5167152 / 27

LCM(27,443,432) = 191376


Lets's calculate GCF of 976,438,417

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 191376/1

Therefore the LCM of Fractions 27/976,443/438,432/417 is 191376

Greatest Common Factor of 976,438,417 By Matching Biggest Common Factor Method

Greatest Common Factor of 976,438,417 By Matching Biggest Common Factor Method

Factors of 976

List of positive integer factors of 976 that divides 976 without a remainder.

1,2,4,8,16,61,122,244,488,976

Factors of 438

List of positive integer factors of 438 that divides 438 without a remainder.

1,2,3,6,73,146,219,438

Factors of 417

List of positive integer factors of 417 that divides 417 without a remainder.

1,3,139,417

Greatest Common Factor

We found the factors 976,438,417 . The biggest common factor number is the GCF number.
So the greatest common factor 976,438,417 is 1.


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 27/976, 443/438, 432/417

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 27/976, 443/438, 432/417?

Answer: LCM of Numerators as per given numbers 27/976, 443/438, 432/417 is

LCM of Numerators i.e. for 27,443,432 is 191376

GCF of denominators i.e. for 976,438,417 is 1.

Thus, LCM of Fractions is 191376.Finally, LCM of Fractions for 27/976, 443/438, 432/417 is 191376.