Least Common Multiple of 56/384, 86/660, 708/166

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 56/384, 86/660, 708/166 quickly i.e. 213108 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/384, 86/660, 708/166 is 213108.

LCM(56/384, 86/660, 708/166) = 213108

LCM of 56/384, 86/660, 708/166

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 56/384,86/660,708/166

Given numbers are 56/384,86/660,708/166

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 56,86,708

Least Common Multiple of Numerators i.e. LCM of 56,86,708 is 426216.

GCF of Denominators means GCF of 384,660,166 as per the given fractions.

GCF of 384,660,166 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,86,708

LCM of Fractions 56/384,86/660,708/166 is 213108

2 56, 86, 708
2 28, 43, 354
14, 43, 177

∴ So the LCM of the given numbers is 2 x 2 x 14 x 43 x 177 = 426216

Least Common Multiple of 56,86,708 with GCF Formula

Least Common Multiple of 56,86,708 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 56,86,708 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,86,708) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(56,86,708) x common factors =2 x 4 = 8

LCM(56,86,708) = ( 56 × 86 × 708 ) / 8

LCM(56,86,708) = 3409728 / 8

LCM(56,86,708) = 426216


Lets's calculate GCF of 384,660,166

2 384, 660, 166
192, 330, 83

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 426216/2

Therefore the LCM of Fractions 56/384,86/660,708/166 is 213108

Greatest Common Factor of 384,660,166 By Matching Biggest Common Factor Method

Greatest Common Factor of 384,660,166 By Matching Biggest Common Factor Method

Factors of 384

List of positive integer factors of 384 that divides 384 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,384

Factors of 660

List of positive integer factors of 660 that divides 660 without a remainder.

1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660

Factors of 166

List of positive integer factors of 166 that divides 166 without a remainder.

1,2,83,166

Greatest Common Factor

We found the factors 384,660,166 . The biggest common factor number is the GCF number.
So the greatest common factor 384,660,166 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 56/384, 86/660, 708/166

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 56/384, 86/660, 708/166?

Answer: LCM of Numerators as per given numbers 56/384, 86/660, 708/166 is

LCM of Numerators i.e. for 56,86,708 is 426216

GCF of denominators i.e. for 384,660,166 is 2.

Thus, LCM of Fractions is 213108.Finally, LCM of Fractions for 56/384, 86/660, 708/166 is 213108.