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LCM of 223, 656, 551, 754, 493

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


Find the LCM of 223, 656, 551, 754, 493 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 223, 656, 551, 754, 493. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 223,656,551,754,493

Given numbers are 223,656,551,754,493

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

The LCM of 223,656,551,754,493 is 17813636048.

Find LCM of 223,656,551,754,493 with Prime Factorization


2 223, 656, 551, 754, 493
29 223, 328, 551, 377, 493
223, 328, 19, 13, 17

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

2 x 29 x 223 x 328 x 19 x 13 x 17 = 17813636048

Therefore, the lowest common multiple of 223,656,551,754,493 is 17813636048.

LCM Formula to Find Lowest Common Multiple of 223,656,551,754,493

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.

223 x 656 x 551 x 754 x 493 = 29962535832736

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.

223 : 1, 223

656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656

551 : 1, 19, 29, 551

754 : 1, 2, 13, 26, 29, 58, 377, 754

493 : 1, 17, 29, 493

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 223,656,551,754,493, is 1.

Now, the common factors can be found like this.

223:223

656:2x 2x 2x 2x 41

551:19x 29

754:2x 13x 29

493:17x 29

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

2x 29x 29 = 1682

Therefore, the value for common factors is 1682.

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 = 29962535832736/(1x1682)

LCM = 29962535832736/1682

LCM = 17813636048

Thus, we can understand that the LCM of 223,656,551,754,493 is 17813636048.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 223, 656, 551, 754, 493

1. What is the LCM of 223, 656, 551, 754, 493?

Answer: LCM of 223, 656, 551, 754, 493 is 17813636048.

2. How to calculate the LCM of 223, 656, 551, 754, 493?

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 223, 656, 551, 754, 493.

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}.