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LCM of 946, 401, 809, 478, 552

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


Find the LCM of 946, 401, 809, 478, 552 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 946, 401, 809, 478, 552. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 946,401,809,478,552

Given numbers are 946,401,809,478,552

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

The LCM of 946,401,809,478,552 is 20243752251096.

Find LCM of 946,401,809,478,552 with Prime Factorization


2 946, 401, 809, 478, 552
473, 401, 809, 239, 276

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

2 x 473 x 401 x 809 x 239 x 276 = 20243752251096

Therefore, the lowest common multiple of 946,401,809,478,552 is 20243752251096.

LCM Formula to Find Lowest Common Multiple of 946,401,809,478,552

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.

946 x 401 x 809 x 478 x 552 = 80975009004384

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.

946 : 1, 2, 11, 22, 43, 86, 473, 946

401 : 1, 401

809 : 1, 809

478 : 1, 2, 239, 478

552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 946,401,809,478,552, is 1.

Now, the common factors can be found like this.

946:2x 11x 43

401:401

809:809

478:2x 239

552:2x 2x 2x 3x 23

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 80975009004384/(1x4)

LCM = 80975009004384/4

LCM = 20243752251096

Thus, we can understand that the LCM of 946,401,809,478,552 is 20243752251096.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 946, 401, 809, 478, 552

1. What is the LCM of 946, 401, 809, 478, 552?

Answer: LCM of 946, 401, 809, 478, 552 is 20243752251096.

2. How to calculate the LCM of 946, 401, 809, 478, 552?

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 946, 401, 809, 478, 552.

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}.