Least Common Multiple of 76/864, 4369/6736

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/864, 4369/6736 quickly i.e. 332044/16 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/864, 4369/6736 is 332044/16.

LCM(76/864, 4369/6736) = 332044/16

LCM of 76/864, 4369/6736

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 76/864,4369/6736

Given numbers are 76/864,4369/6736

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 76,4369

Least Common Multiple of Numerators i.e. LCM of 76,4369 is 332044.

GCF of Denominators means GCF of 864,6736 as per the given fractions.

GCF of 864,6736 is 16 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,4369

LCM of Fractions 76/864,4369/6736 is 332044/16

Given numbers has no common factors except 1. So, there LCM is their product i.e 332044

Least Common Multiple of 76,4369 with GCF Formula

Least Common Multiple of 76,4369 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 76,4369 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,4369) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(76,4369) x common factors =1 x 1 = 1

LCM(76,4369) = ( 76 × 4369 ) / 1

LCM(76,4369) = 332044 / 1

LCM(76,4369) = 332044


Lets's calculate GCF of 864,6736

2 864, 6736
2 432, 3368
2 216, 1684
2 108, 842
54, 421

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 332044/16

Therefore the LCM of Fractions 76/864,4369/6736 is 332044/16

Greatest Common Factor of 864,6736 By Matching Biggest Common Factor Method

Greatest Common Factor of 864,6736 By Matching Biggest Common Factor Method

Factors of 864

List of positive integer factors of 864 that divides 864 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,72,96,108,144,216,288,432,864

Factors of 6736

List of positive integer factors of 6736 that divides 6736 without a remainder.

1,2,4,8,16,421,842,1684,3368,6736

Greatest Common Factor

We found the factors 864,6736 . The biggest common factor number is the GCF number.
So the greatest common factor 864,6736 is 16.


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 76/864, 4369/6736

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 76/864, 4369/6736?

Answer: LCM of Numerators as per given numbers 76/864, 4369/6736 is

LCM of Numerators i.e. for 76,4369 is 332044

GCF of denominators i.e. for 864,6736 is 16.

Thus, LCM of Fractions is 332044/16.Finally, LCM of Fractions for 76/864, 4369/6736 is 332044/16.