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LCM of 215, 450, 979, 456

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


Find the LCM of 215, 450, 979, 456 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, 450, 979, 456. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 215,450,979,456

Given numbers are 215,450,979,456

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

The LCM of 215,450,979,456 is 1439717400.

Find LCM of 215,450,979,456 with Prime Factorization


2 215, 450, 979, 456
3 215, 225, 979, 228
5 215, 75, 979, 76
43, 15, 979, 76

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

2 x 3 x 5 x 43 x 15 x 979 x 76 = 1439717400

Therefore, the lowest common multiple of 215,450,979,456 is 1439717400.

LCM Formula to Find Lowest Common Multiple of 215,450,979,456

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 450 x 979 x 456 = 43191522000

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

450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

979 : 1, 11, 89, 979

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 215,450,979,456, is 1.

Now, the common factors can be found like this.

215:5x 43

450:2x 3x 3x 5x 5

979:11x 89

456:2x 2x 2x 3x 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 3x 5 = 30

Therefore, the value for common factors is 30.

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 = 43191522000/(1x30)

LCM = 43191522000/30

LCM = 1439717400

Thus, we can understand that the LCM of 215,450,979,456 is 1439717400.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 215, 450, 979, 456

1. What is the LCM of 215, 450, 979, 456?

Answer: LCM of 215, 450, 979, 456 is 1439717400.

2. How to calculate the LCM of 215, 450, 979, 456?

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, 450, 979, 456.

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}.