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LCM of 456, 520, 910, 468

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


Find the LCM of 456, 520, 910, 468 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 456, 520, 910, 468. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 456,520,910,468

Given numbers are 456,520,910,468

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

The LCM of 456,520,910,468 is 622440.

Find LCM of 456,520,910,468 with Prime Factorization


2 456, 520, 910, 468
2 228, 260, 455, 234
2 114, 130, 455, 117
3 57, 65, 455, 117
5 19, 65, 455, 39
13 19, 13, 91, 39
19, 1, 7, 3

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

2 x 2 x 2 x 3 x 5 x 13 x 19 x 1 x 7 x 3 = 622440

Therefore, the lowest common multiple of 456,520,910,468 is 622440.

LCM Formula to Find Lowest Common Multiple of 456,520,910,468

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.

456 x 520 x 910 x 468 = 100984665600

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.

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 456,520,910,468, is 2.

Now, the common factors can be found like this.

456:2x 2x 2x 3x 19

520:2x 2x 2x 5x 13

910:2x 5x 7x 13

468:2x 2x 3x 3x 13

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 2x 2x 3x 5x 13x 13 = 81120

Therefore, the value for common factors is 81120.

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 = 100984665600/(2x81120)

LCM = 100984665600/162240

LCM = 622440

Thus, we can understand that the LCM of 456,520,910,468 is 622440.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 456, 520, 910, 468

1. What is the LCM of 456, 520, 910, 468?

Answer: LCM of 456, 520, 910, 468 is 622440.

2. How to calculate the LCM of 456, 520, 910, 468?

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 456, 520, 910, 468.

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}.