Least Common Multiple of 86/380, 243/226, 216/296

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 86/380, 243/226, 216/296 quickly i.e. 41796 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 86/380, 243/226, 216/296 is 41796.

LCM(86/380, 243/226, 216/296) = 41796

LCM of 86/380, 243/226, 216/296

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 86/380,243/226,216/296

Given numbers are 86/380,243/226,216/296

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 86,243,216

Least Common Multiple of Numerators i.e. LCM of 86,243,216 is 83592.

GCF of Denominators means GCF of 380,226,296 as per the given fractions.

GCF of 380,226,296 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 86,243,216

LCM of Fractions 86/380,243/226,216/296 is 41796

2 86, 243, 216
3 43, 243, 108
3 43, 81, 36
3 43, 27, 12
43, 9, 4

∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 43 x 9 x 4 = 83592

Least Common Multiple of 86,243,216 with GCF Formula

Least Common Multiple of 86,243,216 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 86,243,216 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,243,216) = 1

common factors(in case of two or more numbers have common factors) = 54

GCF(86,243,216) x common factors =1 x 54 = 54

LCM(86,243,216) = ( 86 × 243 × 216 ) / 54

LCM(86,243,216) = 4513968 / 54

LCM(86,243,216) = 83592


Lets's calculate GCF of 380,226,296

2 380, 226, 296
190, 113, 148

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 83592/2

Therefore the LCM of Fractions 86/380,243/226,216/296 is 41796

Greatest Common Factor of 380,226,296 By Matching Biggest Common Factor Method

Greatest Common Factor of 380,226,296 By Matching Biggest Common Factor Method

Factors of 380

List of positive integer factors of 380 that divides 380 without a remainder.

1,2,4,5,10,19,20,38,76,95,190,380

Factors of 226

List of positive integer factors of 226 that divides 226 without a remainder.

1,2,113,226

Factors of 296

List of positive integer factors of 296 that divides 296 without a remainder.

1,2,4,8,37,74,148,296

Greatest Common Factor

We found the factors 380,226,296 . The biggest common factor number is the GCF number.
So the greatest common factor 380,226,296 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 86/380, 243/226, 216/296

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 86/380, 243/226, 216/296?

Answer: LCM of Numerators as per given numbers 86/380, 243/226, 216/296 is

LCM of Numerators i.e. for 86,243,216 is 83592

GCF of denominators i.e. for 380,226,296 is 2.

Thus, LCM of Fractions is 41796.Finally, LCM of Fractions for 86/380, 243/226, 216/296 is 41796.