Least Common Multiple of 86/98, 53/79, 288/328

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 86/98, 53/79, 288/328 quickly i.e. 656352 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 86/98, 53/79, 288/328 is 656352.

LCM(86/98, 53/79, 288/328) = 656352

LCM of 86/98, 53/79, 288/328

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 86/98,53/79,288/328

Given numbers are 86/98,53/79,288/328

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 86,53,288

Least Common Multiple of Numerators i.e. LCM of 86,53,288 is 656352.

GCF of Denominators means GCF of 98,79,328 as per the given fractions.

GCF of 98,79,328 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 86,53,288

LCM of Fractions 86/98,53/79,288/328 is 656352

2 86, 53, 288
43, 53, 144

∴ So the LCM of the given numbers is 2 x 43 x 53 x 144 = 656352

Least Common Multiple of 86,53,288 with GCF Formula

Least Common Multiple of 86,53,288 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 86,53,288 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,53,288) = 1

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

GCF(86,53,288) x common factors =1 x 2 = 2

LCM(86,53,288) = ( 86 × 53 × 288 ) / 2

LCM(86,53,288) = 1312704 / 2

LCM(86,53,288) = 656352


Lets's calculate GCF of 98,79,328

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 656352/1

Therefore the LCM of Fractions 86/98,53/79,288/328 is 656352

Greatest Common Factor of 98,79,328 By Matching Biggest Common Factor Method

Greatest Common Factor of 98,79,328 By Matching Biggest Common Factor Method

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 328

List of positive integer factors of 328 that divides 328 without a remainder.

1,2,4,8,41,82,164,328

Greatest Common Factor

We found the factors 98,79,328 . The biggest common factor number is the GCF number.
So the greatest common factor 98,79,328 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 86/98, 53/79, 288/328

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 86/98, 53/79, 288/328?

Answer: LCM of Numerators as per given numbers 86/98, 53/79, 288/328 is

LCM of Numerators i.e. for 86,53,288 is 656352

GCF of denominators i.e. for 98,79,328 is 1.

Thus, LCM of Fractions is 656352.Finally, LCM of Fractions for 86/98, 53/79, 288/328 is 656352.