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LCM of 287, 858, 380, 106, 281

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


Find the LCM of 287, 858, 380, 106, 281 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 287, 858, 380, 106, 281. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 287,858,380,106,281

Given numbers are 287,858,380,106,281

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

The LCM of 287,858,380,106,281 is 696794918820.

Find LCM of 287,858,380,106,281 with Prime Factorization


2 287, 858, 380, 106, 281
287, 429, 190, 53, 281

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

2 x 287 x 429 x 190 x 53 x 281 = 696794918820

Therefore, the lowest common multiple of 287,858,380,106,281 is 696794918820.

LCM Formula to Find Lowest Common Multiple of 287,858,380,106,281

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.

287 x 858 x 380 x 106 x 281 = 2787179675280

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.

287 : 1, 7, 41, 287

858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

106 : 1, 2, 53, 106

281 : 1, 281

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 287,858,380,106,281, is 1.

Now, the common factors can be found like this.

287:7x 41

858:2x 3x 11x 13

380:2x 2x 5x 19

106:2x 53

281:281

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 2787179675280/(1x4)

LCM = 2787179675280/4

LCM = 696794918820

Thus, we can understand that the LCM of 287,858,380,106,281 is 696794918820.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 287, 858, 380, 106, 281

1. What is the LCM of 287, 858, 380, 106, 281?

Answer: LCM of 287, 858, 380, 106, 281 is 696794918820.

2. How to calculate the LCM of 287, 858, 380, 106, 281?

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 287, 858, 380, 106, 281.

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}.