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LCM of 580, 902, 852, 837, 275

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


Find the LCM of 580, 902, 852, 837, 275 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, 902, 852, 837, 275. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 580,902,852,837,275

Given numbers are 580,902,852,837,275

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

The LCM of 580,902,852,837,275 is 77724573300.

Find LCM of 580,902,852,837,275 with Prime Factorization


2 580, 902, 852, 837, 275
2 290, 451, 426, 837, 275
3 145, 451, 213, 837, 275
5 145, 451, 71, 279, 275
11 29, 451, 71, 279, 55
29, 41, 71, 279, 5

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

2 x 2 x 3 x 5 x 11 x 29 x 41 x 71 x 279 x 5 = 77724573300

Therefore, the lowest common multiple of 580,902,852,837,275 is 77724573300.

LCM Formula to Find Lowest Common Multiple of 580,902,852,837,275

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 902 x 852 x 837 x 275 = 102596436756000

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

902 : 1, 2, 11, 22, 41, 82, 451, 902

852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

837 : 1, 3, 9, 27, 31, 93, 279, 837

275 : 1, 5, 11, 25, 55, 275

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 580,902,852,837,275, is 1.

Now, the common factors can be found like this.

580:2x 2x 5x 29

902:2x 11x 41

852:2x 2x 3x 71

837:3x 3x 3x 31

275:5x 5x 11

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 3x 5x 11 = 1320

Therefore, the value for common factors is 1320.

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 = 102596436756000/(1x1320)

LCM = 102596436756000/1320

LCM = 77724573300

Thus, we can understand that the LCM of 580,902,852,837,275 is 77724573300.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 580, 902, 852, 837, 275

1. What is the LCM of 580, 902, 852, 837, 275?

Answer: LCM of 580, 902, 852, 837, 275 is 77724573300.

2. How to calculate the LCM of 580, 902, 852, 837, 275?

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, 902, 852, 837, 275.

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}.