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LCM of 960, 989, 215, 463

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


Find the LCM of 960, 989, 215, 463 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 960, 989, 215, 463. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 960,989,215,463

Given numbers are 960,989,215,463

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

The LCM of 960,989,215,463 is 439590720.

Find LCM of 960,989,215,463 with Prime Factorization


5 960, 989, 215, 463
43 192, 989, 43, 463
192, 23, 1, 463

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

5 x 43 x 192 x 23 x 1 x 463 = 439590720

Therefore, the lowest common multiple of 960,989,215,463 is 439590720.

LCM Formula to Find Lowest Common Multiple of 960,989,215,463

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.

960 x 989 x 215 x 463 = 94512004800

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.

960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

989 : 1, 23, 43, 989

215 : 1, 5, 43, 215

463 : 1, 463

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 960,989,215,463, is 1.

Now, the common factors can be found like this.

960:2x 2x 2x 2x 2x 2x 3x 5

989:23x 43

215:5x 43

463:463

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 = 94512004800/(1x215)

LCM = 94512004800/215

LCM = 439590720

Thus, we can understand that the LCM of 960,989,215,463 is 439590720.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 960, 989, 215, 463

1. What is the LCM of 960, 989, 215, 463?

Answer: LCM of 960, 989, 215, 463 is 439590720.

2. How to calculate the LCM of 960, 989, 215, 463?

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 960, 989, 215, 463.

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}.