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LCM of 462, 583, 848, 397

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


Find the LCM of 462, 583, 848, 397 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 462, 583, 848, 397. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 462,583,848,397

Given numbers are 462,583,848,397

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

The LCM of 462,583,848,397 is 77767536.

Find LCM of 462,583,848,397 with Prime Factorization


2 462, 583, 848, 397
11 231, 583, 424, 397
53 21, 53, 424, 397
21, 1, 8, 397

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

2 x 11 x 53 x 21 x 1 x 8 x 397 = 77767536

Therefore, the lowest common multiple of 462,583,848,397 is 77767536.

LCM Formula to Find Lowest Common Multiple of 462,583,848,397

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.

462 x 583 x 848 x 397 = 90676946976

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.

462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

583 : 1, 11, 53, 583

848 : 1, 2, 4, 8, 16, 53, 106, 212, 424, 848

397 : 1, 397

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 462,583,848,397, is 1.

Now, the common factors can be found like this.

462:2x 3x 7x 11

583:11x 53

848:2x 2x 2x 2x 53

397:397

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

2x 11x 53 = 1166

Therefore, the value for common factors is 1166.

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 = 90676946976/(1x1166)

LCM = 90676946976/1166

LCM = 77767536

Thus, we can understand that the LCM of 462,583,848,397 is 77767536.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 462, 583, 848, 397

1. What is the LCM of 462, 583, 848, 397?

Answer: LCM of 462, 583, 848, 397 is 77767536.

2. How to calculate the LCM of 462, 583, 848, 397?

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 462, 583, 848, 397.

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}.