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LCM of 464, 960, 945, 647, 219

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


Find the LCM of 464, 960, 945, 647, 219 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 464, 960, 945, 647, 219. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 464,960,945,647,219

Given numbers are 464,960,945,647,219

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

The LCM of 464,960,945,647,219 is 82839395520.

Find LCM of 464,960,945,647,219 with Prime Factorization


2 464, 960, 945, 647, 219
2 232, 480, 945, 647, 219
2 116, 240, 945, 647, 219
2 58, 120, 945, 647, 219
3 29, 60, 945, 647, 219
5 29, 20, 315, 647, 73
29, 4, 63, 647, 73

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

2 x 2 x 2 x 2 x 3 x 5 x 29 x 4 x 63 x 647 x 73 = 82839395520

Therefore, the lowest common multiple of 464,960,945,647,219 is 82839395520.

LCM Formula to Find Lowest Common Multiple of 464,960,945,647,219

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.

464 x 960 x 945 x 647 x 219 = 59644364774400

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.

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

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

945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

647 : 1, 647

219 : 1, 3, 73, 219

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 464,960,945,647,219, is 1.

Now, the common factors can be found like this.

464:2x 2x 2x 2x 29

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

945:3x 3x 3x 5x 7

647:647

219:3x 73

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 3x 3x 5 = 720

Therefore, the value for common factors is 720.

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 = 59644364774400/(1x720)

LCM = 59644364774400/720

LCM = 82839395520

Thus, we can understand that the LCM of 464,960,945,647,219 is 82839395520.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 464, 960, 945, 647, 219

1. What is the LCM of 464, 960, 945, 647, 219?

Answer: LCM of 464, 960, 945, 647, 219 is 82839395520.

2. How to calculate the LCM of 464, 960, 945, 647, 219?

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 464, 960, 945, 647, 219.

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}.