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LCM of 221, 501, 977, 567, 880

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


Find the LCM of 221, 501, 977, 567, 880 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 221, 501, 977, 567, 880. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 221,501,977,567,880

Given numbers are 221,501,977,567,880

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

The LCM of 221,501,977,567,880 is 17991569035440.

Find LCM of 221,501,977,567,880 with Prime Factorization


3 221, 501, 977, 567, 880
221, 167, 977, 189, 880

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

3 x 221 x 167 x 977 x 189 x 880 = 17991569035440

Therefore, the lowest common multiple of 221,501,977,567,880 is 17991569035440.

LCM Formula to Find Lowest Common Multiple of 221,501,977,567,880

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.

221 x 501 x 977 x 567 x 880 = 53974707106320

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.

221 : 1, 13, 17, 221

501 : 1, 3, 167, 501

977 : 1, 977

567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567

880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 221,501,977,567,880, is 1.

Now, the common factors can be found like this.

221:13x 17

501:3x 167

977:977

567:3x 3x 3x 3x 7

880:2x 2x 2x 2x 5x 11

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

3 = 3

Therefore, the value for common factors is 3.

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 = 53974707106320/(1x3)

LCM = 53974707106320/3

LCM = 17991569035440

Thus, we can understand that the LCM of 221,501,977,567,880 is 17991569035440.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 221, 501, 977, 567, 880

1. What is the LCM of 221, 501, 977, 567, 880?

Answer: LCM of 221, 501, 977, 567, 880 is 17991569035440.

2. How to calculate the LCM of 221, 501, 977, 567, 880?

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 221, 501, 977, 567, 880.

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}.