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LCM of 221, 790, 377, 880

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


Find the LCM of 221, 790, 377, 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, 790, 377, 880. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 221,790,377,880

Given numbers are 221,790,377,880

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

The LCM of 221,790,377,880 is 445553680.

Find LCM of 221,790,377,880 with Prime Factorization


2 221, 790, 377, 880
5 221, 395, 377, 440
13 221, 79, 377, 88
17, 79, 29, 88

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

2 x 5 x 13 x 17 x 79 x 29 x 88 = 445553680

Therefore, the lowest common multiple of 221,790,377,880 is 445553680.

LCM Formula to Find Lowest Common Multiple of 221,790,377,880

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 790 x 377 x 880 = 57921978400

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

790 : 1, 2, 5, 10, 79, 158, 395, 790

377 : 1, 13, 29, 377

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 221,790,377,880, is 1.

Now, the common factors can be found like this.

221:13x 17

790:2x 5x 79

377:13x 29

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.

2x 5x 13 = 130

Therefore, the value for common factors is 130.

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 = 57921978400/(1x130)

LCM = 57921978400/130

LCM = 445553680

Thus, we can understand that the LCM of 221,790,377,880 is 445553680.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 221, 790, 377, 880

1. What is the LCM of 221, 790, 377, 880?

Answer: LCM of 221, 790, 377, 880 is 445553680.

2. How to calculate the LCM of 221, 790, 377, 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, 790, 377, 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}.