Given numbers are 936,987,517,528,589

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

The LCM of 936,987,517,528,589 is 3990338352.

Find LCM of 936,987,517,528,589 with Prime Factorization

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

2 x 2 x 2 x 3 x 11 x 47 x 39 x 7 x 1 x 2 x 589 = 3990338352

Therefore, the lowest common multiple of 936,987,517,528,589 is 3990338352.

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.

936 x 987 x 517 x 528 x 589 = 148536354814848

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.

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

987 : 1, 3, 7, 21, 47, 141, 329, 987

517 : 1, 11, 47, 517

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

589 : 1, 19, 31, 589

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 936,987,517,528,589, is 1.

Now, the common factors can be found like this.

936:2x 2x 2x 3x 3x 13

987:3x 7x 47

517:11x 47

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

589:19x 31

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 3x 11x 47 = 37224

Therefore, the value for common factors is 37224.

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 = 148536354814848/(1x37224)

LCM = 148536354814848/37224

LCM = 3990338352

Thus, we can understand that the LCM of 936,987,517,528,589 is 3990338352.

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

• LCM of 638, 208, 571, 330, 388
• LCM of 272, 567, 644, 737, 873
• LCM of 984, 299, 712, 672, 719
• LCM of 698, 867, 256, 476, 681
• LCM of 140, 841, 288, 565, 845

1. What is the LCM of 936, 987, 517, 528, 589?

Answer: LCM of 936, 987, 517, 528, 589 is 3990338352.

2. How to calculate the LCM of 936, 987, 517, 528, 589?

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 936, 987, 517, 528, 589.

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}.