Least Common Multiple of 86/32, 48/347, 210/813

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 86/32, 48/347, 210/813 quickly i.e. 72240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 86/32, 48/347, 210/813 is 72240.

LCM(86/32, 48/347, 210/813) = 72240

LCM of 86/32, 48/347, 210/813

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 86/32,48/347,210/813

Given numbers are 86/32,48/347,210/813

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 86,48,210

Least Common Multiple of Numerators i.e. LCM of 86,48,210 is 72240.

GCF of Denominators means GCF of 32,347,813 as per the given fractions.

GCF of 32,347,813 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 86,48,210

LCM of Fractions 86/32,48/347,210/813 is 72240

2 86, 48, 210
3 43, 24, 105
43, 8, 35

∴ So the LCM of the given numbers is 2 x 3 x 43 x 8 x 35 = 72240

Least Common Multiple of 86,48,210 with GCF Formula

Least Common Multiple of 86,48,210 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 86,48,210 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,48,210) = 2

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

GCF(86,48,210) x common factors =2 x 6 = 12

LCM(86,48,210) = ( 86 × 48 × 210 ) / 12

LCM(86,48,210) = 866880 / 12

LCM(86,48,210) = 72240


Lets's calculate GCF of 32,347,813

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 72240/1

Therefore the LCM of Fractions 86/32,48/347,210/813 is 72240

Greatest Common Factor of 32,347,813 By Matching Biggest Common Factor Method

Greatest Common Factor of 32,347,813 By Matching Biggest Common Factor Method

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 347

List of positive integer factors of 347 that divides 347 without a remainder.

1,347

Factors of 813

List of positive integer factors of 813 that divides 813 without a remainder.

1,3,271,813

Greatest Common Factor

We found the factors 32,347,813 . The biggest common factor number is the GCF number.
So the greatest common factor 32,347,813 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 86/32, 48/347, 210/813

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 86/32, 48/347, 210/813?

Answer: LCM of Numerators as per given numbers 86/32, 48/347, 210/813 is

LCM of Numerators i.e. for 86,48,210 is 72240

GCF of denominators i.e. for 32,347,813 is 1.

Thus, LCM of Fractions is 72240.Finally, LCM of Fractions for 86/32, 48/347, 210/813 is 72240.