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LCM of 814, 969, 525, 643

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


Find the LCM of 814, 969, 525, 643 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, 969, 525, 643. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 814,969,525,643

Given numbers are 814,969,525,643

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

The LCM of 814,969,525,643 is 88755894150.

Find LCM of 814,969,525,643 with Prime Factorization


3 814, 969, 525, 643
814, 323, 175, 643

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

3 x 814 x 323 x 175 x 643 = 88755894150

Therefore, the lowest common multiple of 814,969,525,643 is 88755894150.

LCM Formula to Find Lowest Common Multiple of 814,969,525,643

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 969 x 525 x 643 = 266267682450

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

969 : 1, 3, 17, 19, 51, 57, 323, 969

525 : 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

643 : 1, 643

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,969,525,643, is 1.

Now, the common factors can be found like this.

814:2x 11x 37

969:3x 17x 19

525:3x 5x 5x 7

643:643

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3 = 3

Therefore, the value for common factors is 3.

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 = 266267682450/(1x3)

LCM = 266267682450/3

LCM = 88755894150

Thus, we can understand that the LCM of 814,969,525,643 is 88755894150.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 814, 969, 525, 643

1. What is the LCM of 814, 969, 525, 643?

Answer: LCM of 814, 969, 525, 643 is 88755894150.

2. How to calculate the LCM of 814, 969, 525, 643?

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, 969, 525, 643.

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}.