Given numbers are 936,257,733,689,577

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

The LCM of 936,257,733,689,577 is 5392183081896.

Find LCM of 936,257,733,689,577 with Prime Factorization

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

13 x 72 x 257 x 733 x 53 x 577 = 5392183081896

Therefore, the lowest common multiple of 936,257,733,689,577 is 5392183081896.

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 257 x 733 x 689 x 577 = 70098380064648

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

257 : 1, 257

733 : 1, 733

689 : 1, 13, 53, 689

577 : 1, 577

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 936,257,733,689,577, is 1.

Now, the common factors can be found like this.

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

257:257

733:733

689:13x 53

577:577

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 = 70098380064648/(1x13)

LCM = 70098380064648/13

LCM = 5392183081896

Thus, we can understand that the LCM of 936,257,733,689,577 is 5392183081896.

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

• LCM of 245, 918, 156, 613, 563
• LCM of 785, 700, 384, 329, 571
• LCM of 282, 456, 584, 660, 917
• LCM of 288, 880, 342, 961, 735
• LCM of 522, 666, 644, 473, 941

1. What is the LCM of 936, 257, 733, 689, 577?

Answer: LCM of 936, 257, 733, 689, 577 is 5392183081896.

2. How to calculate the LCM of 936, 257, 733, 689, 577?

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, 257, 733, 689, 577.

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}.