Least Common Multiple of 86/17, 328/49, 367/892

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 86/17, 328/49, 367/892 quickly i.e. 5176168 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 86/17, 328/49, 367/892 is 5176168.

LCM(86/17, 328/49, 367/892) = 5176168

LCM of 86/17, 328/49, 367/892

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 86/17,328/49,367/892

Given numbers are 86/17,328/49,367/892

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 86,328,367

Least Common Multiple of Numerators i.e. LCM of 86,328,367 is 5176168.

GCF of Denominators means GCF of 17,49,892 as per the given fractions.

GCF of 17,49,892 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 86,328,367

LCM of Fractions 86/17,328/49,367/892 is 5176168

2 86, 328, 367
43, 164, 367

∴ So the LCM of the given numbers is 2 x 43 x 164 x 367 = 5176168

Least Common Multiple of 86,328,367 with GCF Formula

Least Common Multiple of 86,328,367 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 86,328,367 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,328,367) = 1

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

GCF(86,328,367) x common factors =1 x 2 = 2

LCM(86,328,367) = ( 86 × 328 × 367 ) / 2

LCM(86,328,367) = 10352336 / 2

LCM(86,328,367) = 5176168


Lets's calculate GCF of 17,49,892

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5176168/1

Therefore the LCM of Fractions 86/17,328/49,367/892 is 5176168

Greatest Common Factor of 17,49,892 By Matching Biggest Common Factor Method

Greatest Common Factor of 17,49,892 By Matching Biggest Common Factor Method

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 892

List of positive integer factors of 892 that divides 892 without a remainder.

1,2,4,223,446,892

Greatest Common Factor

We found the factors 17,49,892 . The biggest common factor number is the GCF number.
So the greatest common factor 17,49,892 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 86/17, 328/49, 367/892

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 86/17, 328/49, 367/892?

Answer: LCM of Numerators as per given numbers 86/17, 328/49, 367/892 is

LCM of Numerators i.e. for 86,328,367 is 5176168

GCF of denominators i.e. for 17,49,892 is 1.

Thus, LCM of Fractions is 5176168.Finally, LCM of Fractions for 86/17, 328/49, 367/892 is 5176168.