Least Common Multiple of 86/28, 92/84, 83/93, 41/431

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 86/28, 92/84, 83/93, 41/431 quickly i.e. 13462268 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 86/28, 92/84, 83/93, 41/431 is 13462268.

LCM(86/28, 92/84, 83/93, 41/431) = 13462268

LCM of 86/28, 92/84, 83/93, 41/431

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 86/28,92/84,83/93,41/431

Given numbers are 86/28,92/84,83/93,41/431

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 86,92,83,41

Least Common Multiple of Numerators i.e. LCM of 86,92,83,41 is 13462268.

GCF of Denominators means GCF of 28,84,93,431 as per the given fractions.

GCF of 28,84,93,431 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 86,92,83,41

LCM of Fractions 86/28,92/84,83/93,41/431 is 13462268

2 86, 92, 83, 41
43, 46, 83, 41

∴ So the LCM of the given numbers is 2 x 43 x 46 x 83 x 41 = 13462268

Least Common Multiple of 86,92,83,41 with GCF Formula

Least Common Multiple of 86,92,83,41 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 86,92,83,41 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,92,83,41) = 1

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

GCF(86,92,83,41) x common factors =1 x 2 = 2

LCM(86,92,83,41) = ( 86 × 92 × 83 × 41 ) / 2

LCM(86,92,83,41) = 26924536 / 2

LCM(86,92,83,41) = 13462268


Lets's calculate GCF of 28,84,93,431

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13462268/1

Therefore the LCM of Fractions 86/28,92/84,83/93,41/431 is 13462268

Greatest Common Factor of 28,84,93,431 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,84,93,431 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 431

List of positive integer factors of 431 that divides 431 without a remainder.

1,431

Greatest Common Factor

We found the factors 28,84,93,431 . The biggest common factor number is the GCF number.
So the greatest common factor 28,84,93,431 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 86/28, 92/84, 83/93, 41/431

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 86/28, 92/84, 83/93, 41/431?

Answer: LCM of Numerators as per given numbers 86/28, 92/84, 83/93, 41/431 is

LCM of Numerators i.e. for 86,92,83,41 is 13462268

GCF of denominators i.e. for 28,84,93,431 is 1.

Thus, LCM of Fractions is 13462268.Finally, LCM of Fractions for 86/28, 92/84, 83/93, 41/431 is 13462268.