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LCM of 902, 281, 366, 432, 366

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


Find the LCM of 902, 281, 366, 432, 366 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, 281, 366, 432, 366. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 902,281,366,432,366

Given numbers are 902,281,366,432,366

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

The LCM of 902,281,366,432,366 is 3339615312.

Find LCM of 902,281,366,432,366 with Prime Factorization


2 902, 281, 366, 432, 366
3 451, 281, 183, 216, 183
61 451, 281, 61, 72, 61
451, 281, 1, 72, 1

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

2 x 3 x 61 x 451 x 281 x 1 x 72 x 1 = 3339615312

Therefore, the lowest common multiple of 902,281,366,432,366 is 3339615312.

LCM Formula to Find Lowest Common Multiple of 902,281,366,432,366

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 281 x 366 x 432 x 366 = 14667590450304

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

281 : 1, 281

366 : 1, 2, 3, 6, 61, 122, 183, 366

432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

366 : 1, 2, 3, 6, 61, 122, 183, 366

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 902,281,366,432,366, is 1.

Now, the common factors can be found like this.

902:2x 11x 41

281:281

366:2x 3x 61

432:2x 2x 2x 2x 3x 3x 3

366:2x 3x 61

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 3x 61 = 4392

Therefore, the value for common factors is 4392.

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 = 14667590450304/(1x4392)

LCM = 14667590450304/4392

LCM = 3339615312

Thus, we can understand that the LCM of 902,281,366,432,366 is 3339615312.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 902, 281, 366, 432, 366

1. What is the LCM of 902, 281, 366, 432, 366?

Answer: LCM of 902, 281, 366, 432, 366 is 3339615312.

2. How to calculate the LCM of 902, 281, 366, 432, 366?

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, 281, 366, 432, 366.

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}.