Least Common Multiple of 86/711, 48/930, 582/968

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 86/711, 48/930, 582/968 quickly i.e. 200208 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 86/711, 48/930, 582/968 is 200208.

LCM(86/711, 48/930, 582/968) = 200208

LCM of 86/711, 48/930, 582/968

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 86/711,48/930,582/968

Given numbers are 86/711,48/930,582/968

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 86,48,582

Least Common Multiple of Numerators i.e. LCM of 86,48,582 is 200208.

GCF of Denominators means GCF of 711,930,968 as per the given fractions.

GCF of 711,930,968 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 86,48,582

LCM of Fractions 86/711,48/930,582/968 is 200208

2 86, 48, 582
3 43, 24, 291
43, 8, 97

∴ So the LCM of the given numbers is 2 x 3 x 43 x 8 x 97 = 200208

Least Common Multiple of 86,48,582 with GCF Formula

Least Common Multiple of 86,48,582 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 86,48,582 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,48,582) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(86,48,582) x common factors =2 x 6 = 12

LCM(86,48,582) = ( 86 × 48 × 582 ) / 12

LCM(86,48,582) = 2402496 / 12

LCM(86,48,582) = 200208


Lets's calculate GCF of 711,930,968

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 200208/1

Therefore the LCM of Fractions 86/711,48/930,582/968 is 200208

Greatest Common Factor of 711,930,968 By Matching Biggest Common Factor Method

Greatest Common Factor of 711,930,968 By Matching Biggest Common Factor Method

Factors of 711

List of positive integer factors of 711 that divides 711 without a remainder.

1,3,9,79,237,711

Factors of 930

List of positive integer factors of 930 that divides 930 without a remainder.

1,2,3,5,6,10,15,30,31,62,93,155,186,310,465,930

Factors of 968

List of positive integer factors of 968 that divides 968 without a remainder.

1,2,4,8,11,22,44,88,121,242,484,968

Greatest Common Factor

We found the factors 711,930,968 . The biggest common factor number is the GCF number.
So the greatest common factor 711,930,968 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 86/711, 48/930, 582/968

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 86/711, 48/930, 582/968?

Answer: LCM of Numerators as per given numbers 86/711, 48/930, 582/968 is

LCM of Numerators i.e. for 86,48,582 is 200208

GCF of denominators i.e. for 711,930,968 is 1.

Thus, LCM of Fractions is 200208.Finally, LCM of Fractions for 86/711, 48/930, 582/968 is 200208.