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LCM of 365, 384, 466, 713

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 365, 384, 466, 713 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 365, 384, 466, 713. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 365,384,466,713

Given numbers are 365,384,466,713

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 365,384,466,713 is 23284640640.

Find LCM of 365,384,466,713 with Prime Factorization


2 365, 384, 466, 713
365, 192, 233, 713

Multiply the prime numbers at the bottom and the left side.

2 x 365 x 192 x 233 x 713 = 23284640640

Therefore, the lowest common multiple of 365,384,466,713 is 23284640640.

LCM Formula to Find Lowest Common Multiple of 365,384,466,713

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

365 x 384 x 466 x 713 = 46569281280

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

365 : 1, 5, 73, 365

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

466 : 1, 2, 233, 466

713 : 1, 23, 31, 713

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 365,384,466,713, is 1.

Now, the common factors can be found like this.

365:5x 73

384:2x 2x 2x 2x 2x 2x 2x 3

466:2x 233

713:23x 31

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2 = 2

Therefore, the value for common factors is 2.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 46569281280/(1x2)

LCM = 46569281280/2

LCM = 23284640640

Thus, we can understand that the LCM of 365,384,466,713 is 23284640640.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 365, 384, 466, 713

1. What is the LCM of 365, 384, 466, 713?

Answer: LCM of 365, 384, 466, 713 is 23284640640.

2. How to calculate the LCM of 365, 384, 466, 713?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 365, 384, 466, 713.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.