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LCM of 520, 457, 974, 418, 912

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


Find the LCM of 520, 457, 974, 418, 912 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 520, 457, 974, 418, 912. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 520,457,974,418,912

Given numbers are 520,457,974,418,912

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

The LCM of 520,457,974,418,912 is 145126272720.

Find LCM of 520,457,974,418,912 with Prime Factorization


2 520, 457, 974, 418, 912
2 260, 457, 487, 209, 456
2 130, 457, 487, 209, 228
19 65, 457, 487, 209, 114
65, 457, 487, 11, 6

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

2 x 2 x 2 x 19 x 65 x 457 x 487 x 11 x 6 = 145126272720

Therefore, the lowest common multiple of 520,457,974,418,912 is 145126272720.

LCM Formula to Find Lowest Common Multiple of 520,457,974,418,912

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.

520 x 457 x 974 x 418 x 912 = 88236773813760

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.

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

457 : 1, 457

974 : 1, 2, 487, 974

418 : 1, 2, 11, 19, 22, 38, 209, 418

912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 520,457,974,418,912, is 1.

Now, the common factors can be found like this.

520:2x 2x 2x 5x 13

457:457

974:2x 487

418:2x 11x 19

912:2x 2x 2x 2x 3x 19

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 19 = 608

Therefore, the value for common factors is 608.

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 = 88236773813760/(1x608)

LCM = 88236773813760/608

LCM = 145126272720

Thus, we can understand that the LCM of 520,457,974,418,912 is 145126272720.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 520, 457, 974, 418, 912

1. What is the LCM of 520, 457, 974, 418, 912?

Answer: LCM of 520, 457, 974, 418, 912 is 145126272720.

2. How to calculate the LCM of 520, 457, 974, 418, 912?

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 520, 457, 974, 418, 912.

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}.