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LCM of 440, 226, 286, 977, 463

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


Find the LCM of 440, 226, 286, 977, 463 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 440, 226, 286, 977, 463. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 440,226,286,977,463

Given numbers are 440,226,286,977,463

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

The LCM of 440,226,286,977,463 is 292381592360.

Find LCM of 440,226,286,977,463 with Prime Factorization


2 440, 226, 286, 977, 463
11 220, 113, 143, 977, 463
20, 113, 13, 977, 463

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

2 x 11 x 20 x 113 x 13 x 977 x 463 = 292381592360

Therefore, the lowest common multiple of 440,226,286,977,463 is 292381592360.

LCM Formula to Find Lowest Common Multiple of 440,226,286,977,463

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.

440 x 226 x 286 x 977 x 463 = 12864790063840

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.

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

226 : 1, 2, 113, 226

286 : 1, 2, 11, 13, 22, 26, 143, 286

977 : 1, 977

463 : 1, 463

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 440,226,286,977,463, is 1.

Now, the common factors can be found like this.

440:2x 2x 2x 5x 11

226:2x 113

286:2x 11x 13

977:977

463:463

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 11 = 44

Therefore, the value for common factors is 44.

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 = 12864790063840/(1x44)

LCM = 12864790063840/44

LCM = 292381592360

Thus, we can understand that the LCM of 440,226,286,977,463 is 292381592360.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 440, 226, 286, 977, 463

1. What is the LCM of 440, 226, 286, 977, 463?

Answer: LCM of 440, 226, 286, 977, 463 is 292381592360.

2. How to calculate the LCM of 440, 226, 286, 977, 463?

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 440, 226, 286, 977, 463.

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}.