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LCM of 589, 648, 767, 514

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


Find the LCM of 589, 648, 767, 514 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 589, 648, 767, 514. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 589,648,767,514

Given numbers are 589,648,767,514

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

The LCM of 589,648,767,514 is 75234802968.

Find LCM of 589,648,767,514 with Prime Factorization


2 589, 648, 767, 514
589, 324, 767, 257

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

2 x 589 x 324 x 767 x 257 = 75234802968

Therefore, the lowest common multiple of 589,648,767,514 is 75234802968.

LCM Formula to Find Lowest Common Multiple of 589,648,767,514

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.

589 x 648 x 767 x 514 = 150469605936

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.

589 : 1, 19, 31, 589

648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

767 : 1, 13, 59, 767

514 : 1, 2, 257, 514

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 589,648,767,514, is 1.

Now, the common factors can be found like this.

589:19x 31

648:2x 2x 2x 3x 3x 3x 3

767:13x 59

514:2x 257

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 = 150469605936/(1x2)

LCM = 150469605936/2

LCM = 75234802968

Thus, we can understand that the LCM of 589,648,767,514 is 75234802968.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 589, 648, 767, 514

1. What is the LCM of 589, 648, 767, 514?

Answer: LCM of 589, 648, 767, 514 is 75234802968.

2. How to calculate the LCM of 589, 648, 767, 514?

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 589, 648, 767, 514.

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}.