Least Common Multiple of 86/767, 41/789, 464/498

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 86/767, 41/789, 464/498 quickly i.e. 818032 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 86/767, 41/789, 464/498 is 818032.

LCM(86/767, 41/789, 464/498) = 818032

LCM of 86/767, 41/789, 464/498

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 86/767,41/789,464/498

Given numbers are 86/767,41/789,464/498

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 86,41,464

Least Common Multiple of Numerators i.e. LCM of 86,41,464 is 818032.

GCF of Denominators means GCF of 767,789,498 as per the given fractions.

GCF of 767,789,498 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 86,41,464

LCM of Fractions 86/767,41/789,464/498 is 818032

2 86, 41, 464
43, 41, 232

∴ So the LCM of the given numbers is 2 x 43 x 41 x 232 = 818032

Least Common Multiple of 86,41,464 with GCF Formula

Least Common Multiple of 86,41,464 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 86,41,464 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,41,464) = 1

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

GCF(86,41,464) x common factors =1 x 2 = 2

LCM(86,41,464) = ( 86 × 41 × 464 ) / 2

LCM(86,41,464) = 1636064 / 2

LCM(86,41,464) = 818032


Lets's calculate GCF of 767,789,498

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 818032/1

Therefore the LCM of Fractions 86/767,41/789,464/498 is 818032

Greatest Common Factor of 767,789,498 By Matching Biggest Common Factor Method

Greatest Common Factor of 767,789,498 By Matching Biggest Common Factor Method

Factors of 767

List of positive integer factors of 767 that divides 767 without a remainder.

1,13,59,767

Factors of 789

List of positive integer factors of 789 that divides 789 without a remainder.

1,3,263,789

Factors of 498

List of positive integer factors of 498 that divides 498 without a remainder.

1,2,3,6,83,166,249,498

Greatest Common Factor

We found the factors 767,789,498 . The biggest common factor number is the GCF number.
So the greatest common factor 767,789,498 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 86/767, 41/789, 464/498

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 86/767, 41/789, 464/498?

Answer: LCM of Numerators as per given numbers 86/767, 41/789, 464/498 is

LCM of Numerators i.e. for 86,41,464 is 818032

GCF of denominators i.e. for 767,789,498 is 1.

Thus, LCM of Fractions is 818032.Finally, LCM of Fractions for 86/767, 41/789, 464/498 is 818032.