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LCM of 806, 607, 217, 157, 380

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


Find the LCM of 806, 607, 217, 157, 380 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 806, 607, 217, 157, 380. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 806,607,217,157,380

Given numbers are 806,607,217,157,380

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

The LCM of 806,607,217,157,380 is 102158622020.

Find LCM of 806,607,217,157,380 with Prime Factorization


2 806, 607, 217, 157, 380
31 403, 607, 217, 157, 190
13, 607, 7, 157, 190

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

2 x 31 x 13 x 607 x 7 x 157 x 190 = 102158622020

Therefore, the lowest common multiple of 806,607,217,157,380 is 102158622020.

LCM Formula to Find Lowest Common Multiple of 806,607,217,157,380

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.

806 x 607 x 217 x 157 x 380 = 6333834565240

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.

806 : 1, 2, 13, 26, 31, 62, 403, 806

607 : 1, 607

217 : 1, 7, 31, 217

157 : 1, 157

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 806,607,217,157,380, is 1.

Now, the common factors can be found like this.

806:2x 13x 31

607:607

217:7x 31

157:157

380:2x 2x 5x 19

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

2x 31 = 62

Therefore, the value for common factors is 62.

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 = 6333834565240/(1x62)

LCM = 6333834565240/62

LCM = 102158622020

Thus, we can understand that the LCM of 806,607,217,157,380 is 102158622020.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 806, 607, 217, 157, 380

1. What is the LCM of 806, 607, 217, 157, 380?

Answer: LCM of 806, 607, 217, 157, 380 is 102158622020.

2. How to calculate the LCM of 806, 607, 217, 157, 380?

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 806, 607, 217, 157, 380.

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}.