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LCM of 415, 148, 792, 462

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


Find the LCM of 415, 148, 792, 462 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 415, 148, 792, 462. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 415,148,792,462

Given numbers are 415,148,792,462

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

The LCM of 415,148,792,462 is 85128120.

Find LCM of 415,148,792,462 with Prime Factorization


2 415, 148, 792, 462
2 415, 74, 396, 231
3 415, 37, 198, 231
11 415, 37, 66, 77
415, 37, 6, 7

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

2 x 2 x 3 x 11 x 415 x 37 x 6 x 7 = 85128120

Therefore, the lowest common multiple of 415,148,792,462 is 85128120.

LCM Formula to Find Lowest Common Multiple of 415,148,792,462

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.

415 x 148 x 792 x 462 = 22473823680

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.

415 : 1, 5, 83, 415

148 : 1, 2, 4, 37, 74, 148

792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 415,148,792,462, is 1.

Now, the common factors can be found like this.

415:5x 83

148:2x 2x 37

792:2x 2x 2x 3x 3x 11

462:2x 3x 7x 11

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

2x 2x 2x 3x 11 = 264

Therefore, the value for common factors is 264.

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 = 22473823680/(1x264)

LCM = 22473823680/264

LCM = 85128120

Thus, we can understand that the LCM of 415,148,792,462 is 85128120.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 415, 148, 792, 462

1. What is the LCM of 415, 148, 792, 462?

Answer: LCM of 415, 148, 792, 462 is 85128120.

2. How to calculate the LCM of 415, 148, 792, 462?

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 415, 148, 792, 462.

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}.