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LCM of 280, 362, 309, 864, 856

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


Find the LCM of 280, 362, 309, 864, 856 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 280, 362, 309, 864, 856. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 280,362,309,864,856

Given numbers are 280,362,309,864,856

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

The LCM of 280,362,309,864,856 is 60322782240.

Find LCM of 280,362,309,864,856 with Prime Factorization


2 280, 362, 309, 864, 856
2 140, 181, 309, 432, 428
2 70, 181, 309, 216, 214
3 35, 181, 309, 108, 107
35, 181, 103, 36, 107

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

2 x 2 x 2 x 3 x 35 x 181 x 103 x 36 x 107 = 60322782240

Therefore, the lowest common multiple of 280,362,309,864,856 is 60322782240.

LCM Formula to Find Lowest Common Multiple of 280,362,309,864,856

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.

280 x 362 x 309 x 864 x 856 = 23163948380160

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.

280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

362 : 1, 2, 181, 362

309 : 1, 3, 103, 309

864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

856 : 1, 2, 4, 8, 107, 214, 428, 856

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 280,362,309,864,856, is 1.

Now, the common factors can be found like this.

280:2x 2x 2x 5x 7

362:2x 181

309:3x 103

864:2x 2x 2x 2x 2x 3x 3x 3

856:2x 2x 2x 107

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 2x 3 = 384

Therefore, the value for common factors is 384.

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 = 23163948380160/(1x384)

LCM = 23163948380160/384

LCM = 60322782240

Thus, we can understand that the LCM of 280,362,309,864,856 is 60322782240.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 280, 362, 309, 864, 856

1. What is the LCM of 280, 362, 309, 864, 856?

Answer: LCM of 280, 362, 309, 864, 856 is 60322782240.

2. How to calculate the LCM of 280, 362, 309, 864, 856?

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 280, 362, 309, 864, 856.

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}.