Least Common Multiple of 386/85, 446/72, 688/108

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 386/85, 446/72, 688/108 quickly i.e. 29610832 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 386/85, 446/72, 688/108 is 29610832.

LCM(386/85, 446/72, 688/108) = 29610832

LCM of 386/85, 446/72, 688/108

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 386/85,446/72,688/108

Given numbers are 386/85,446/72,688/108

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 386,446,688

Least Common Multiple of Numerators i.e. LCM of 386,446,688 is 29610832.

GCF of Denominators means GCF of 85,72,108 as per the given fractions.

GCF of 85,72,108 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 386,446,688

LCM of Fractions 386/85,446/72,688/108 is 29610832

2 386, 446, 688
193, 223, 344

∴ So the LCM of the given numbers is 2 x 193 x 223 x 344 = 29610832

Least Common Multiple of 386,446,688 with GCF Formula

Least Common Multiple of 386,446,688 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 386,446,688 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(386,446,688) = 2

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

GCF(386,446,688) x common factors =2 x 2 = 4

LCM(386,446,688) = ( 386 × 446 × 688 ) / 4

LCM(386,446,688) = 118443328 / 4

LCM(386,446,688) = 29610832


Lets's calculate GCF of 85,72,108

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29610832/1

Therefore the LCM of Fractions 386/85,446/72,688/108 is 29610832

Greatest Common Factor of 85,72,108 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,72,108 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 108

List of positive integer factors of 108 that divides 108 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,108

Greatest Common Factor

We found the factors 85,72,108 . The biggest common factor number is the GCF number.
So the greatest common factor 85,72,108 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 386/85, 446/72, 688/108

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 386/85, 446/72, 688/108?

Answer: LCM of Numerators as per given numbers 386/85, 446/72, 688/108 is

LCM of Numerators i.e. for 386,446,688 is 29610832

GCF of denominators i.e. for 85,72,108 is 1.

Thus, LCM of Fractions is 29610832.Finally, LCM of Fractions for 386/85, 446/72, 688/108 is 29610832.