Least Common Multiple of 86/366, 35/359, 416/728

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 86/366, 35/359, 416/728 quickly i.e. 626080 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 86/366, 35/359, 416/728 is 626080.

LCM(86/366, 35/359, 416/728) = 626080

LCM of 86/366, 35/359, 416/728

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 86/366,35/359,416/728

Given numbers are 86/366,35/359,416/728

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 86,35,416

Least Common Multiple of Numerators i.e. LCM of 86,35,416 is 626080.

GCF of Denominators means GCF of 366,359,728 as per the given fractions.

GCF of 366,359,728 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 86,35,416

LCM of Fractions 86/366,35/359,416/728 is 626080

2 86, 35, 416
43, 35, 208

∴ So the LCM of the given numbers is 2 x 43 x 35 x 208 = 626080

Least Common Multiple of 86,35,416 with GCF Formula

Least Common Multiple of 86,35,416 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 86,35,416 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,35,416) = 1

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

GCF(86,35,416) x common factors =1 x 2 = 2

LCM(86,35,416) = ( 86 × 35 × 416 ) / 2

LCM(86,35,416) = 1252160 / 2

LCM(86,35,416) = 626080


Lets's calculate GCF of 366,359,728

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 626080/1

Therefore the LCM of Fractions 86/366,35/359,416/728 is 626080

Greatest Common Factor of 366,359,728 By Matching Biggest Common Factor Method

Greatest Common Factor of 366,359,728 By Matching Biggest Common Factor Method

Factors of 366

List of positive integer factors of 366 that divides 366 without a remainder.

1,2,3,6,61,122,183,366

Factors of 359

List of positive integer factors of 359 that divides 359 without a remainder.

1,359

Factors of 728

List of positive integer factors of 728 that divides 728 without a remainder.

1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728

Greatest Common Factor

We found the factors 366,359,728 . The biggest common factor number is the GCF number.
So the greatest common factor 366,359,728 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 86/366, 35/359, 416/728

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 86/366, 35/359, 416/728?

Answer: LCM of Numerators as per given numbers 86/366, 35/359, 416/728 is

LCM of Numerators i.e. for 86,35,416 is 626080

GCF of denominators i.e. for 366,359,728 is 1.

Thus, LCM of Fractions is 626080.Finally, LCM of Fractions for 86/366, 35/359, 416/728 is 626080.