Least Common Multiple of 66/86, 48/16, 722/214

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 66/86, 48/16, 722/214 quickly i.e. 95304 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 66/86, 48/16, 722/214 is 95304.

LCM(66/86, 48/16, 722/214) = 95304

LCM of 66/86, 48/16, 722/214

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 66/86,48/16,722/214

Given numbers are 66/86,48/16,722/214

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 66,48,722

Least Common Multiple of Numerators i.e. LCM of 66,48,722 is 190608.

GCF of Denominators means GCF of 86,16,214 as per the given fractions.

GCF of 86,16,214 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 66,48,722

LCM of Fractions 66/86,48/16,722/214 is 95304

2 66, 48, 722
3 33, 24, 361
11, 8, 361

∴ So the LCM of the given numbers is 2 x 3 x 11 x 8 x 361 = 190608

Least Common Multiple of 66,48,722 with GCF Formula

Least Common Multiple of 66,48,722 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 66,48,722 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,48,722) = 2

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

GCF(66,48,722) x common factors =2 x 6 = 12

LCM(66,48,722) = ( 66 × 48 × 722 ) / 12

LCM(66,48,722) = 2287296 / 12

LCM(66,48,722) = 190608


Lets's calculate GCF of 86,16,214

2 86, 16, 214
43, 8, 107

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 190608/2

Therefore the LCM of Fractions 66/86,48/16,722/214 is 95304

Greatest Common Factor of 86,16,214 By Matching Biggest Common Factor Method

Greatest Common Factor of 86,16,214 By Matching Biggest Common Factor Method

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 214

List of positive integer factors of 214 that divides 214 without a remainder.

1,2,107,214

Greatest Common Factor

We found the factors 86,16,214 . The biggest common factor number is the GCF number.
So the greatest common factor 86,16,214 is 2.


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 66/86, 48/16, 722/214

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 66/86, 48/16, 722/214?

Answer: LCM of Numerators as per given numbers 66/86, 48/16, 722/214 is

LCM of Numerators i.e. for 66,48,722 is 190608

GCF of denominators i.e. for 86,16,214 is 2.

Thus, LCM of Fractions is 95304.Finally, LCM of Fractions for 66/86, 48/16, 722/214 is 95304.