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LCM of 102, 464, 464, 566

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


Find the LCM of 102, 464, 464, 566 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 102, 464, 464, 566. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 102,464,464,566

Given numbers are 102,464,464,566

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

The LCM of 102,464,464,566 is 6696912.

Find LCM of 102,464,464,566 with Prime Factorization


2 102, 464, 464, 566
2 51, 232, 232, 283
2 51, 116, 116, 283
2 51, 58, 58, 283
29 51, 29, 29, 283
51, 1, 1, 283

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

2 x 2 x 2 x 2 x 29 x 51 x 1 x 1 x 283 = 6696912

Therefore, the lowest common multiple of 102,464,464,566 is 6696912.

LCM Formula to Find Lowest Common Multiple of 102,464,464,566

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.

102 x 464 x 464 x 566 = 12429468672

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.

102 : 1, 2, 3, 6, 17, 34, 51, 102

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

566 : 1, 2, 283, 566

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 102,464,464,566, is 2.

Now, the common factors can be found like this.

102:2x 3x 17

464:2x 2x 2x 2x 29

464:2x 2x 2x 2x 29

566:2x 283

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 29 = 928

Therefore, the value for common factors is 928.

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 = 12429468672/(2x928)

LCM = 12429468672/1856

LCM = 6696912

Thus, we can understand that the LCM of 102,464,464,566 is 6696912.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 102, 464, 464, 566

1. What is the LCM of 102, 464, 464, 566?

Answer: LCM of 102, 464, 464, 566 is 6696912.

2. How to calculate the LCM of 102, 464, 464, 566?

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 102, 464, 464, 566.

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}.