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LCM of 814, 729, 380, 456, 769

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


Find the LCM of 814, 729, 380, 456, 769 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 814, 729, 380, 456, 769. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 814,729,380,456,769

Given numbers are 814,729,380,456,769

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

The LCM of 814,729,380,456,769 is 173405101320.

Find LCM of 814,729,380,456,769 with Prime Factorization


2 814, 729, 380, 456, 769
2 407, 729, 190, 228, 769
3 407, 729, 95, 114, 769
19 407, 243, 95, 38, 769
407, 243, 5, 2, 769

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

2 x 2 x 3 x 19 x 407 x 243 x 5 x 2 x 769 = 173405101320

Therefore, the lowest common multiple of 814,729,380,456,769 is 173405101320.

LCM Formula to Find Lowest Common Multiple of 814,729,380,456,769

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.

814 x 729 x 380 x 456 x 769 = 79072726201920

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.

814 : 1, 2, 11, 22, 37, 74, 407, 814

729 : 1, 3, 9, 27, 81, 243, 729

380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

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

769 : 1, 769

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,729,380,456,769, is 1.

Now, the common factors can be found like this.

814:2x 11x 37

729:3x 3x 3x 3x 3x 3

380:2x 2x 5x 19

456:2x 2x 2x 3x 19

769:769

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 19 = 456

Therefore, the value for common factors is 456.

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 = 79072726201920/(1x456)

LCM = 79072726201920/456

LCM = 173405101320

Thus, we can understand that the LCM of 814,729,380,456,769 is 173405101320.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 814, 729, 380, 456, 769

1. What is the LCM of 814, 729, 380, 456, 769?

Answer: LCM of 814, 729, 380, 456, 769 is 173405101320.

2. How to calculate the LCM of 814, 729, 380, 456, 769?

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 814, 729, 380, 456, 769.

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}.