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LCM of 551, 253, 338, 323, 643

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


Find the LCM of 551, 253, 338, 323, 643 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 551, 253, 338, 323, 643. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 551,253,338,323,643

Given numbers are 551,253,338,323,643

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

The LCM of 551,253,338,323,643 is 515049197234.

Find LCM of 551,253,338,323,643 with Prime Factorization


19 551, 253, 338, 323, 643
29, 253, 338, 17, 643

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

19 x 29 x 253 x 338 x 17 x 643 = 515049197234

Therefore, the lowest common multiple of 551,253,338,323,643 is 515049197234.

LCM Formula to Find Lowest Common Multiple of 551,253,338,323,643

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.

551 x 253 x 338 x 323 x 643 = 9785934747446

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.

551 : 1, 19, 29, 551

253 : 1, 11, 23, 253

338 : 1, 2, 13, 26, 169, 338

323 : 1, 17, 19, 323

643 : 1, 643

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 551,253,338,323,643, is 1.

Now, the common factors can be found like this.

551:19x 29

253:11x 23

338:2x 13x 13

323:17x 19

643:643

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

19 = 19

Therefore, the value for common factors is 19.

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 = 9785934747446/(1x19)

LCM = 9785934747446/19

LCM = 515049197234

Thus, we can understand that the LCM of 551,253,338,323,643 is 515049197234.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 551, 253, 338, 323, 643

1. What is the LCM of 551, 253, 338, 323, 643?

Answer: LCM of 551, 253, 338, 323, 643 is 515049197234.

2. How to calculate the LCM of 551, 253, 338, 323, 643?

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 551, 253, 338, 323, 643.

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}.