Given numbers are 592,299,561,902,972

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

The LCM of 592,299,561,902,972 is 329780241648.

Find LCM of 592,299,561,902,972 with Prime Factorization

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

2 x 2 x 3 x 11 x 148 x 299 x 17 x 41 x 81 = 329780241648

Therefore, the lowest common multiple of 592,299,561,902,972 is 329780241648.

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.

592 x 299 x 561 x 902 x 972 = 87061983795072

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.

592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592

299 : 1, 13, 23, 299

561 : 1, 3, 11, 17, 33, 51, 187, 561

902 : 1, 2, 11, 22, 41, 82, 451, 902

972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 592,299,561,902,972, is 1.

Now, the common factors can be found like this.

592:2x 2x 2x 2x 37

299:13x 23

561:3x 11x 17

902:2x 11x 41

972:2x 2x 3x 3x 3x 3x 3

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 3x 11 = 264

Therefore, the value for common factors is 264.

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 = 87061983795072/(1x264)

LCM = 87061983795072/264

LCM = 329780241648

Thus, we can understand that the LCM of 592,299,561,902,972 is 329780241648.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 136, 645, 737, 992, 560
• LCM of 946, 521, 203, 116, 341
• LCM of 764, 939, 846, 808, 110
• LCM of 274, 100, 232, 122, 824
• LCM of 673, 566, 961, 110, 782

1. What is the LCM of 592, 299, 561, 902, 972?

Answer: LCM of 592, 299, 561, 902, 972 is 329780241648.

2. How to calculate the LCM of 592, 299, 561, 902, 972?

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 592, 299, 561, 902, 972.

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}.