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LCM of 375, 867, 677, 465, 899

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


Find the LCM of 375, 867, 677, 465, 899 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 375, 867, 677, 465, 899. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 375,867,677,465,899

Given numbers are 375,867,677,465,899

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

The LCM of 375,867,677,465,899 is 65959517625.

Find LCM of 375,867,677,465,899 with Prime Factorization


3 375, 867, 677, 465, 899
5 125, 289, 677, 155, 899
31 25, 289, 677, 31, 899
25, 289, 677, 1, 29

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

3 x 5 x 31 x 25 x 289 x 677 x 1 x 29 = 65959517625

Therefore, the lowest common multiple of 375,867,677,465,899 is 65959517625.

LCM Formula to Find Lowest Common Multiple of 375,867,677,465,899

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.

375 x 867 x 677 x 465 x 899 = 92013527086875

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.

375 : 1, 3, 5, 15, 25, 75, 125, 375

867 : 1, 3, 17, 51, 289, 867

677 : 1, 677

465 : 1, 3, 5, 15, 31, 93, 155, 465

899 : 1, 29, 31, 899

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 375,867,677,465,899, is 1.

Now, the common factors can be found like this.

375:3x 5x 5x 5

867:3x 17x 17

677:677

465:3x 5x 31

899:29x 31

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

3x 3x 5x 31 = 1395

Therefore, the value for common factors is 1395.

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 = 92013527086875/(1x1395)

LCM = 92013527086875/1395

LCM = 65959517625

Thus, we can understand that the LCM of 375,867,677,465,899 is 65959517625.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 375, 867, 677, 465, 899

1. What is the LCM of 375, 867, 677, 465, 899?

Answer: LCM of 375, 867, 677, 465, 899 is 65959517625.

2. How to calculate the LCM of 375, 867, 677, 465, 899?

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 375, 867, 677, 465, 899.

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}.