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LCM of 964, 187, 952, 572, 361

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


Find the LCM of 964, 187, 952, 572, 361 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 964, 187, 952, 572, 361. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 964,187,952,572,361

Given numbers are 964,187,952,572,361

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

The LCM of 964,187,952,572,361 is 11843968136.

Find LCM of 964,187,952,572,361 with Prime Factorization


2 964, 187, 952, 572, 361
2 482, 187, 476, 286, 361
11 241, 187, 238, 143, 361
17 241, 17, 238, 13, 361
241, 1, 14, 13, 361

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

2 x 2 x 11 x 17 x 241 x 1 x 14 x 13 x 361 = 11843968136

Therefore, the lowest common multiple of 964,187,952,572,361 is 11843968136.

LCM Formula to Find Lowest Common Multiple of 964,187,952,572,361

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.

964 x 187 x 952 x 572 x 361 = 35437152662912

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.

964 : 1, 2, 4, 241, 482, 964

187 : 1, 11, 17, 187

952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

361 : 1, 19, 361

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 964,187,952,572,361, is 1.

Now, the common factors can be found like this.

964:2x 2x 241

187:11x 17

952:2x 2x 2x 7x 17

572:2x 2x 11x 13

361:19x 19

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 11x 17 = 2992

Therefore, the value for common factors is 2992.

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 = 35437152662912/(1x2992)

LCM = 35437152662912/2992

LCM = 11843968136

Thus, we can understand that the LCM of 964,187,952,572,361 is 11843968136.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 964, 187, 952, 572, 361

1. What is the LCM of 964, 187, 952, 572, 361?

Answer: LCM of 964, 187, 952, 572, 361 is 11843968136.

2. How to calculate the LCM of 964, 187, 952, 572, 361?

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 964, 187, 952, 572, 361.

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}.