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LCM of 902, 272, 672, 539, 581

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


Find the LCM of 902, 272, 672, 539, 581 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 902, 272, 672, 539, 581. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 902,272,672,539,581

Given numbers are 902,272,672,539,581

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

The LCM of 902,272,672,539,581 is 2993442144.

Find LCM of 902,272,672,539,581 with Prime Factorization


2 902, 272, 672, 539, 581
2 451, 136, 336, 539, 581
2 451, 68, 168, 539, 581
2 451, 34, 84, 539, 581
7 451, 17, 42, 539, 581
11 451, 17, 6, 77, 83
41, 17, 6, 7, 83

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

2 x 2 x 2 x 2 x 7 x 11 x 41 x 17 x 6 x 7 x 83 = 2993442144

Therefore, the lowest common multiple of 902,272,672,539,581 is 2993442144.

LCM Formula to Find Lowest Common Multiple of 902,272,672,539,581

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.

902 x 272 x 672 x 539 x 581 = 51630890099712

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.

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

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

539 : 1, 7, 11, 49, 77, 539

581 : 1, 7, 83, 581

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 902,272,672,539,581, is 1.

Now, the common factors can be found like this.

902:2x 11x 41

272:2x 2x 2x 2x 17

672:2x 2x 2x 2x 2x 3x 7

539:7x 7x 11

581:7x 83

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 7x 7x 11 = 17248

Therefore, the value for common factors is 17248.

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 = 51630890099712/(1x17248)

LCM = 51630890099712/17248

LCM = 2993442144

Thus, we can understand that the LCM of 902,272,672,539,581 is 2993442144.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 902, 272, 672, 539, 581

1. What is the LCM of 902, 272, 672, 539, 581?

Answer: LCM of 902, 272, 672, 539, 581 is 2993442144.

2. How to calculate the LCM of 902, 272, 672, 539, 581?

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 902, 272, 672, 539, 581.

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}.