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LCM of 215, 430, 985

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


Find the LCM of 215, 430, 985 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 215, 430, 985. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 215,430,985

Given numbers are 215,430,985

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

The LCM of 215,430,985 is 84710.

Find LCM of 215,430,985 with Prime Factorization


5 215, 430, 985
43 43, 86, 197
1, 2, 197

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

5 x 43 x 1 x 2 x 197 = 84710

Therefore, the lowest common multiple of 215,430,985 is 84710.

LCM Formula to Find Lowest Common Multiple of 215,430,985

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.

215 x 430 x 985 = 91063250

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.

215 : 1, 5, 43, 215

430 : 1, 2, 5, 10, 43, 86, 215, 430

985 : 1, 5, 197, 985

5 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 215,430,985, is 5.

Now, the common factors can be found like this.

215:5x 43

430:2x 5x 43

985:5x 197

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

5x 43 = 215

Therefore, the value for common factors is 215.

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 = 91063250/(5x215)

LCM = 91063250/1075

LCM = 84710

Thus, we can understand that the LCM of 215,430,985 is 84710.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 215, 430, 985

1. What is the LCM of 215, 430, 985?

Answer: LCM of 215, 430, 985 is 84710.

2. How to calculate the LCM of 215, 430, 985?

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 215, 430, 985.

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}.