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LCM of 580, 980, 484, 828, 545

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


Find the LCM of 580, 980, 484, 828, 545 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 580, 980, 484, 828, 545. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 580,980,484,828,545

Given numbers are 580,980,484,828,545

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

The LCM of 580,980,484,828,545 is 77590095660.

Find LCM of 580,980,484,828,545 with Prime Factorization


2 580, 980, 484, 828, 545
2 290, 490, 242, 414, 545
5 145, 245, 121, 207, 545
29, 49, 121, 207, 109

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

2 x 2 x 5 x 29 x 49 x 121 x 207 x 109 = 77590095660

Therefore, the lowest common multiple of 580,980,484,828,545 is 77590095660.

LCM Formula to Find Lowest Common Multiple of 580,980,484,828,545

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.

580 x 980 x 484 x 828 x 545 = 124144153056000

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.

580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

484 : 1, 2, 4, 11, 22, 44, 121, 242, 484

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

545 : 1, 5, 109, 545

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 580,980,484,828,545, is 1.

Now, the common factors can be found like this.

580:2x 2x 5x 29

980:2x 2x 5x 7x 7

484:2x 2x 11x 11

828:2x 2x 3x 3x 23

545:5x 109

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 5x 5 = 1600

Therefore, the value for common factors is 1600.

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 = 124144153056000/(1x1600)

LCM = 124144153056000/1600

LCM = 77590095660

Thus, we can understand that the LCM of 580,980,484,828,545 is 77590095660.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 580, 980, 484, 828, 545

1. What is the LCM of 580, 980, 484, 828, 545?

Answer: LCM of 580, 980, 484, 828, 545 is 77590095660.

2. How to calculate the LCM of 580, 980, 484, 828, 545?

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 580, 980, 484, 828, 545.

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}.