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LCM of 880, 808, 506, 464

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


Find the LCM of 880, 808, 506, 464 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 880, 808, 506, 464. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 880,808,506,464

Given numbers are 880,808,506,464

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

The LCM of 880,808,506,464 is 59282960.

Find LCM of 880,808,506,464 with Prime Factorization


2 880, 808, 506, 464
2 440, 404, 253, 232
2 220, 202, 253, 116
2 110, 101, 253, 58
11 55, 101, 253, 29
5, 101, 23, 29

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

2 x 2 x 2 x 2 x 11 x 5 x 101 x 23 x 29 = 59282960

Therefore, the lowest common multiple of 880,808,506,464 is 59282960.

LCM Formula to Find Lowest Common Multiple of 880,808,506,464

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.

880 x 808 x 506 x 464 = 166940815360

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.

880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

808 : 1, 2, 4, 8, 101, 202, 404, 808

506 : 1, 2, 11, 22, 23, 46, 253, 506

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 880,808,506,464, is 2.

Now, the common factors can be found like this.

880:2x 2x 2x 2x 5x 11

808:2x 2x 2x 101

506:2x 11x 23

464:2x 2x 2x 2x 29

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 2x 2x 11 = 1408

Therefore, the value for common factors is 1408.

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 = 166940815360/(2x1408)

LCM = 166940815360/2816

LCM = 59282960

Thus, we can understand that the LCM of 880,808,506,464 is 59282960.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 880, 808, 506, 464

1. What is the LCM of 880, 808, 506, 464?

Answer: LCM of 880, 808, 506, 464 is 59282960.

2. How to calculate the LCM of 880, 808, 506, 464?

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 880, 808, 506, 464.

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}.