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LCM of 961, 933, 718, 199, 352

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


Find the LCM of 961, 933, 718, 199, 352 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 961, 933, 718, 199, 352. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 961,933,718,199,352

Given numbers are 961,933,718,199,352

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

The LCM of 961,933,718,199,352 is 22547335125216.

Find LCM of 961,933,718,199,352 with Prime Factorization


2 961, 933, 718, 199, 352
961, 933, 359, 199, 176

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

2 x 961 x 933 x 359 x 199 x 176 = 22547335125216

Therefore, the lowest common multiple of 961,933,718,199,352 is 22547335125216.

LCM Formula to Find Lowest Common Multiple of 961,933,718,199,352

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.

961 x 933 x 718 x 199 x 352 = 45094670250432

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.

961 : 1, 31, 961

933 : 1, 3, 311, 933

718 : 1, 2, 359, 718

199 : 1, 199

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 961,933,718,199,352, is 1.

Now, the common factors can be found like this.

961:31x 31

933:3x 311

718:2x 359

199:199

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

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 = 45094670250432/(1x2)

LCM = 45094670250432/2

LCM = 22547335125216

Thus, we can understand that the LCM of 961,933,718,199,352 is 22547335125216.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 961, 933, 718, 199, 352

1. What is the LCM of 961, 933, 718, 199, 352?

Answer: LCM of 961, 933, 718, 199, 352 is 22547335125216.

2. How to calculate the LCM of 961, 933, 718, 199, 352?

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 961, 933, 718, 199, 352.

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}.