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LCM of 382, 501, 706, 957, 568

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


Find the LCM of 382, 501, 706, 957, 568 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 382, 501, 706, 957, 568. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 382,501,706,957,568

Given numbers are 382,501,706,957,568

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

The LCM of 382,501,706,957,568 is 6120470616216.

Find LCM of 382,501,706,957,568 with Prime Factorization


2 382, 501, 706, 957, 568
3 191, 501, 353, 957, 284
191, 167, 353, 319, 284

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

2 x 3 x 191 x 167 x 353 x 319 x 284 = 6120470616216

Therefore, the lowest common multiple of 382,501,706,957,568 is 6120470616216.

LCM Formula to Find Lowest Common Multiple of 382,501,706,957,568

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.

382 x 501 x 706 x 957 x 568 = 73445647394592

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.

382 : 1, 2, 191, 382

501 : 1, 3, 167, 501

706 : 1, 2, 353, 706

957 : 1, 3, 11, 29, 33, 87, 319, 957

568 : 1, 2, 4, 8, 71, 142, 284, 568

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 382,501,706,957,568, is 1.

Now, the common factors can be found like this.

382:2x 191

501:3x 167

706:2x 353

957:3x 11x 29

568:2x 2x 2x 71

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 3 = 12

Therefore, the value for common factors is 12.

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 = 73445647394592/(1x12)

LCM = 73445647394592/12

LCM = 6120470616216

Thus, we can understand that the LCM of 382,501,706,957,568 is 6120470616216.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 382, 501, 706, 957, 568

1. What is the LCM of 382, 501, 706, 957, 568?

Answer: LCM of 382, 501, 706, 957, 568 is 6120470616216.

2. How to calculate the LCM of 382, 501, 706, 957, 568?

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 382, 501, 706, 957, 568.

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}.