Least Common Multiple of 64/86, 68/704, 793/736

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 64/86, 68/704, 793/736 quickly i.e. 431392 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 64/86, 68/704, 793/736 is 431392.

LCM(64/86, 68/704, 793/736) = 431392

LCM of 64/86, 68/704, 793/736

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 64/86,68/704,793/736

Given numbers are 64/86,68/704,793/736

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 64,68,793

Least Common Multiple of Numerators i.e. LCM of 64,68,793 is 862784.

GCF of Denominators means GCF of 86,704,736 as per the given fractions.

GCF of 86,704,736 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 64,68,793

LCM of Fractions 64/86,68/704,793/736 is 431392

2 64, 68, 793
2 32, 34, 793
16, 17, 793

∴ So the LCM of the given numbers is 2 x 2 x 16 x 17 x 793 = 862784

Least Common Multiple of 64,68,793 with GCF Formula

Least Common Multiple of 64,68,793 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 64,68,793 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,68,793) = 1

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

GCF(64,68,793) x common factors =1 x 4 = 4

LCM(64,68,793) = ( 64 × 68 × 793 ) / 4

LCM(64,68,793) = 3451136 / 4

LCM(64,68,793) = 862784


Lets's calculate GCF of 86,704,736

2 86, 704, 736
43, 352, 368

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 862784/2

Therefore the LCM of Fractions 64/86,68/704,793/736 is 431392

Greatest Common Factor of 86,704,736 By Matching Biggest Common Factor Method

Greatest Common Factor of 86,704,736 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 704

List of positive integer factors of 704 that divides 704 without a remainder.

1,2,4,8,11,16,22,32,44,64,88,176,352,704

Factors of 736

List of positive integer factors of 736 that divides 736 without a remainder.

1,2,4,8,16,23,32,46,92,184,368,736

Greatest Common Factor

We found the factors 86,704,736 . The biggest common factor number is the GCF number.
So the greatest common factor 86,704,736 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 64/86, 68/704, 793/736

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 64/86, 68/704, 793/736?

Answer: LCM of Numerators as per given numbers 64/86, 68/704, 793/736 is

LCM of Numerators i.e. for 64,68,793 is 862784

GCF of denominators i.e. for 86,704,736 is 2.

Thus, LCM of Fractions is 431392.Finally, LCM of Fractions for 64/86, 68/704, 793/736 is 431392.