Least Common Multiple of 86/768, 45/383, 438/703

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 86/768, 45/383, 438/703 quickly i.e. 282510 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 86/768, 45/383, 438/703 is 282510.

LCM(86/768, 45/383, 438/703) = 282510

LCM of 86/768, 45/383, 438/703

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 86/768,45/383,438/703

Given numbers are 86/768,45/383,438/703

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 86,45,438

Least Common Multiple of Numerators i.e. LCM of 86,45,438 is 282510.

GCF of Denominators means GCF of 768,383,703 as per the given fractions.

GCF of 768,383,703 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 86,45,438

LCM of Fractions 86/768,45/383,438/703 is 282510

2 86, 45, 438
3 43, 45, 219
43, 15, 73

∴ So the LCM of the given numbers is 2 x 3 x 43 x 15 x 73 = 282510

Least Common Multiple of 86,45,438 with GCF Formula

Least Common Multiple of 86,45,438 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 86,45,438 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,45,438) = 1

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

GCF(86,45,438) x common factors =1 x 6 = 6

LCM(86,45,438) = ( 86 × 45 × 438 ) / 6

LCM(86,45,438) = 1695060 / 6

LCM(86,45,438) = 282510


Lets's calculate GCF of 768,383,703

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 282510/1

Therefore the LCM of Fractions 86/768,45/383,438/703 is 282510

Greatest Common Factor of 768,383,703 By Matching Biggest Common Factor Method

Greatest Common Factor of 768,383,703 By Matching Biggest Common Factor Method

Factors of 768

List of positive integer factors of 768 that divides 768 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,768

Factors of 383

List of positive integer factors of 383 that divides 383 without a remainder.

1,383

Factors of 703

List of positive integer factors of 703 that divides 703 without a remainder.

1,19,37,703

Greatest Common Factor

We found the factors 768,383,703 . The biggest common factor number is the GCF number.
So the greatest common factor 768,383,703 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 86/768, 45/383, 438/703

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 86/768, 45/383, 438/703?

Answer: LCM of Numerators as per given numbers 86/768, 45/383, 438/703 is

LCM of Numerators i.e. for 86,45,438 is 282510

GCF of denominators i.e. for 768,383,703 is 1.

Thus, LCM of Fractions is 282510.Finally, LCM of Fractions for 86/768, 45/383, 438/703 is 282510.