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LCM of 351, 715, 329, 526

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


Find the LCM of 351, 715, 329, 526 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 351, 715, 329, 526. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 351,715,329,526

Given numbers are 351,715,329,526

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

The LCM of 351,715,329,526 is 3340807470.

Find LCM of 351,715,329,526 with Prime Factorization


13 351, 715, 329, 526
27, 55, 329, 526

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

13 x 27 x 55 x 329 x 526 = 3340807470

Therefore, the lowest common multiple of 351,715,329,526 is 3340807470.

LCM Formula to Find Lowest Common Multiple of 351,715,329,526

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.

351 x 715 x 329 x 526 = 43430497110

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.

351 : 1, 3, 9, 13, 27, 39, 117, 351

715 : 1, 5, 11, 13, 55, 65, 143, 715

329 : 1, 7, 47, 329

526 : 1, 2, 263, 526

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 351,715,329,526, is 1.

Now, the common factors can be found like this.

351:3x 3x 3x 13

715:5x 11x 13

329:7x 47

526:2x 263

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

13 = 13

Therefore, the value for common factors is 13.

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 = 43430497110/(1x13)

LCM = 43430497110/13

LCM = 3340807470

Thus, we can understand that the LCM of 351,715,329,526 is 3340807470.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 351, 715, 329, 526

1. What is the LCM of 351, 715, 329, 526?

Answer: LCM of 351, 715, 329, 526 is 3340807470.

2. How to calculate the LCM of 351, 715, 329, 526?

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 351, 715, 329, 526.

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}.