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LCM of 768, 219, 895, 216, 469

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


Find the LCM of 768, 219, 895, 216, 469 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 768, 219, 895, 216, 469. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 768,219,895,216,469

Given numbers are 768,219,895,216,469

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

The LCM of 768,219,895,216,469 is 211798298880.

Find LCM of 768,219,895,216,469 with Prime Factorization


2 768, 219, 895, 216, 469
2 384, 219, 895, 108, 469
2 192, 219, 895, 54, 469
3 96, 219, 895, 27, 469
32, 73, 895, 9, 469

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

2 x 2 x 2 x 3 x 32 x 73 x 895 x 9 x 469 = 211798298880

Therefore, the lowest common multiple of 768,219,895,216,469 is 211798298880.

LCM Formula to Find Lowest Common Multiple of 768,219,895,216,469

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.

768 x 219 x 895 x 216 x 469 = 15249477519360

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.

768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

219 : 1, 3, 73, 219

895 : 1, 5, 179, 895

216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

469 : 1, 7, 67, 469

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 768,219,895,216,469, is 1.

Now, the common factors can be found like this.

768:2x 2x 2x 2x 2x 2x 2x 2x 3

219:3x 73

895:5x 179

216:2x 2x 2x 3x 3x 3

469:7x 67

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 3x 3 = 72

Therefore, the value for common factors is 72.

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 = 15249477519360/(1x72)

LCM = 15249477519360/72

LCM = 211798298880

Thus, we can understand that the LCM of 768,219,895,216,469 is 211798298880.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 768, 219, 895, 216, 469

1. What is the LCM of 768, 219, 895, 216, 469?

Answer: LCM of 768, 219, 895, 216, 469 is 211798298880.

2. How to calculate the LCM of 768, 219, 895, 216, 469?

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 768, 219, 895, 216, 469.

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}.