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LCM of 440, 515, 471, 644

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


Find the LCM of 440, 515, 471, 644 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, 515, 471, 644. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 440,515,471,644

Given numbers are 440,515,471,644

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

The LCM of 440,515,471,644 is 3436660920.

Find LCM of 440,515,471,644 with Prime Factorization


2 440, 515, 471, 644
2 220, 515, 471, 322
5 110, 515, 471, 161
22, 103, 471, 161

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

2 x 2 x 5 x 22 x 103 x 471 x 161 = 3436660920

Therefore, the lowest common multiple of 440,515,471,644 is 3436660920.

LCM Formula to Find Lowest Common Multiple of 440,515,471,644

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 515 x 471 x 644 = 68733218400

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

515 : 1, 5, 103, 515

471 : 1, 3, 157, 471

644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 440,515,471,644, is 1.

Now, the common factors can be found like this.

440:2x 2x 2x 5x 11

515:5x 103

471:3x 157

644:2x 2x 7x 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 2x 5 = 20

Therefore, the value for common factors is 20.

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 = 68733218400/(1x20)

LCM = 68733218400/20

LCM = 3436660920

Thus, we can understand that the LCM of 440,515,471,644 is 3436660920.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 440, 515, 471, 644

1. What is the LCM of 440, 515, 471, 644?

Answer: LCM of 440, 515, 471, 644 is 3436660920.

2. How to calculate the LCM of 440, 515, 471, 644?

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, 515, 471, 644.

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}.