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LCM of 587, 646, 638, 419

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


Find the LCM of 587, 646, 638, 419 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 587, 646, 638, 419. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 587,646,638,419

Given numbers are 587,646,638,419

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

The LCM of 587,646,638,419 is 50684518522.

Find LCM of 587,646,638,419 with Prime Factorization


2 587, 646, 638, 419
587, 323, 319, 419

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

2 x 587 x 323 x 319 x 419 = 50684518522

Therefore, the lowest common multiple of 587,646,638,419 is 50684518522.

LCM Formula to Find Lowest Common Multiple of 587,646,638,419

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.

587 x 646 x 638 x 419 = 101369037044

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.

587 : 1, 587

646 : 1, 2, 17, 19, 34, 38, 323, 646

638 : 1, 2, 11, 22, 29, 58, 319, 638

419 : 1, 419

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 587,646,638,419, is 1.

Now, the common factors can be found like this.

587:587

646:2x 17x 19

638:2x 11x 29

419:419

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

2 = 2

Therefore, the value for common factors is 2.

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 = 101369037044/(1x2)

LCM = 101369037044/2

LCM = 50684518522

Thus, we can understand that the LCM of 587,646,638,419 is 50684518522.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 587, 646, 638, 419

1. What is the LCM of 587, 646, 638, 419?

Answer: LCM of 587, 646, 638, 419 is 50684518522.

2. How to calculate the LCM of 587, 646, 638, 419?

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 587, 646, 638, 419.

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}.