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LCM of 352, 518, 528, 638, 326

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


Find the LCM of 352, 518, 528, 638, 326 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 352, 518, 528, 638, 326. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 352,518,528,638,326

Given numbers are 352,518,528,638,326

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

The LCM of 352,518,528,638,326 is 1292853408.

Find LCM of 352,518,528,638,326 with Prime Factorization


2 352, 518, 528, 638, 326
2 176, 259, 264, 319, 163
2 88, 259, 132, 319, 163
2 44, 259, 66, 319, 163
11 22, 259, 33, 319, 163
2, 259, 3, 29, 163

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

2 x 2 x 2 x 2 x 11 x 2 x 259 x 3 x 29 x 163 = 1292853408

Therefore, the lowest common multiple of 352,518,528,638,326 is 1292853408.

LCM Formula to Find Lowest Common Multiple of 352,518,528,638,326

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.

352 x 518 x 528 x 638 x 326 = 20023713583104

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.

352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

518 : 1, 2, 7, 14, 37, 74, 259, 518

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

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

326 : 1, 2, 163, 326

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 352,518,528,638,326, is 2.

Now, the common factors can be found like this.

352:2x 2x 2x 2x 2x 11

518:2x 7x 37

528:2x 2x 2x 2x 3x 11

638:2x 11x 29

326:2x 163

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 2x 2x 2x 2x 11x 11 = 7744

Therefore, the value for common factors is 7744.

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 = 20023713583104/(2x7744)

LCM = 20023713583104/15488

LCM = 1292853408

Thus, we can understand that the LCM of 352,518,528,638,326 is 1292853408.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 352, 518, 528, 638, 326

1. What is the LCM of 352, 518, 528, 638, 326?

Answer: LCM of 352, 518, 528, 638, 326 is 1292853408.

2. How to calculate the LCM of 352, 518, 528, 638, 326?

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 352, 518, 528, 638, 326.

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}.