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LCM of 402, 334, 638, 517

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


Find the LCM of 402, 334, 638, 517 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 402, 334, 638, 517. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 402,334,638,517

Given numbers are 402,334,638,517

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

The LCM of 402,334,638,517 is 1006540062.

Find LCM of 402,334,638,517 with Prime Factorization


2 402, 334, 638, 517
11 201, 167, 319, 517
201, 167, 29, 47

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

2 x 11 x 201 x 167 x 29 x 47 = 1006540062

Therefore, the lowest common multiple of 402,334,638,517 is 1006540062.

LCM Formula to Find Lowest Common Multiple of 402,334,638,517

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.

402 x 334 x 638 x 517 = 44287762728

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.

402 : 1, 2, 3, 6, 67, 134, 201, 402

334 : 1, 2, 167, 334

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

517 : 1, 11, 47, 517

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 402,334,638,517, is 1.

Now, the common factors can be found like this.

402:2x 3x 67

334:2x 167

638:2x 11x 29

517:11x 47

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 11 = 44

Therefore, the value for common factors is 44.

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 = 44287762728/(1x44)

LCM = 44287762728/44

LCM = 1006540062

Thus, we can understand that the LCM of 402,334,638,517 is 1006540062.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 402, 334, 638, 517

1. What is the LCM of 402, 334, 638, 517?

Answer: LCM of 402, 334, 638, 517 is 1006540062.

2. How to calculate the LCM of 402, 334, 638, 517?

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 402, 334, 638, 517.

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}.