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LCM of 486, 323, 839, 962, 553

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


Find the LCM of 486, 323, 839, 962, 553 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 486, 323, 839, 962, 553. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 486,323,839,962,553

Given numbers are 486,323,839,962,553

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

The LCM of 486,323,839,962,553 is 35032486240206.

Find LCM of 486,323,839,962,553 with Prime Factorization


2 486, 323, 839, 962, 553
243, 323, 839, 481, 553

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

2 x 243 x 323 x 839 x 481 x 553 = 35032486240206

Therefore, the lowest common multiple of 486,323,839,962,553 is 35032486240206.

LCM Formula to Find Lowest Common Multiple of 486,323,839,962,553

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.

486 x 323 x 839 x 962 x 553 = 70064972480412

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.

486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

323 : 1, 17, 19, 323

839 : 1, 839

962 : 1, 2, 13, 26, 37, 74, 481, 962

553 : 1, 7, 79, 553

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 486,323,839,962,553, is 1.

Now, the common factors can be found like this.

486:2x 3x 3x 3x 3x 3

323:17x 19

839:839

962:2x 13x 37

553:7x 79

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 = 70064972480412/(1x2)

LCM = 70064972480412/2

LCM = 35032486240206

Thus, we can understand that the LCM of 486,323,839,962,553 is 35032486240206.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 486, 323, 839, 962, 553

1. What is the LCM of 486, 323, 839, 962, 553?

Answer: LCM of 486, 323, 839, 962, 553 is 35032486240206.

2. How to calculate the LCM of 486, 323, 839, 962, 553?

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 486, 323, 839, 962, 553.

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}.