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LCM of 587, 298, 768, 595

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


Find the LCM of 587, 298, 768, 595 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 587, 298, 768, 595. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 587,298,768,595

Given numbers are 587,298,768,595

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

The LCM of 587,298,768,595 is 39967092480.

Find LCM of 587,298,768,595 with Prime Factorization


2 587, 298, 768, 595
587, 149, 384, 595

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

2 x 587 x 149 x 384 x 595 = 39967092480

Therefore, the lowest common multiple of 587,298,768,595 is 39967092480.

LCM Formula to Find Lowest Common Multiple of 587,298,768,595

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.

587 x 298 x 768 x 595 = 79934184960

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.

587 : 1, 587

298 : 1, 2, 149, 298

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

595 : 1, 5, 7, 17, 35, 85, 119, 595

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 587,298,768,595, is 1.

Now, the common factors can be found like this.

587:587

298:2x 149

768:2x 2x 2x 2x 2x 2x 2x 2x 3

595:5x 7x 17

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 = 79934184960/(1x2)

LCM = 79934184960/2

LCM = 39967092480

Thus, we can understand that the LCM of 587,298,768,595 is 39967092480.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 587, 298, 768, 595

1. What is the LCM of 587, 298, 768, 595?

Answer: LCM of 587, 298, 768, 595 is 39967092480.

2. How to calculate the LCM of 587, 298, 768, 595?

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 587, 298, 768, 595.

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}.