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LCM of 813, 767, 169

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


Find the LCM of 813, 767, 169 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 813, 767, 169. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 813,767,169

Given numbers are 813,767,169

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

The LCM of 813,767,169 is 8106423.

Find LCM of 813,767,169 with Prime Factorization


13 813, 767, 169
813, 59, 13

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

13 x 813 x 59 x 13 = 8106423

Therefore, the lowest common multiple of 813,767,169 is 8106423.

LCM Formula to Find Lowest Common Multiple of 813,767,169

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.

813 x 767 x 169 = 105383499

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.

813 : 1, 3, 271, 813

767 : 1, 13, 59, 767

169 : 1, 13, 169

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 813,767,169, is 1.

Now, the common factors can be found like this.

813:3x 271

767:13x 59

169:13x 13

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

13 = 13

Therefore, the value for common factors is 13.

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 = 105383499/(1x13)

LCM = 105383499/13

LCM = 8106423

Thus, we can understand that the LCM of 813,767,169 is 8106423.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 813, 767, 169

1. What is the LCM of 813, 767, 169?

Answer: LCM of 813, 767, 169 is 8106423.

2. How to calculate the LCM of 813, 767, 169?

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 813, 767, 169.

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}.