Given numbers are 689,252,121,435,936

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

The LCM of 689,252,121,435,936 is 6092606520.

Find LCM of 689,252,121,435,936 with Prime Factorization

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

2 x 2 x 3 x 3 x 13 x 53 x 7 x 121 x 145 x 2 = 6092606520

Therefore, the lowest common multiple of 689,252,121,435,936 is 6092606520.

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.

689 x 252 x 121 x 435 x 936 = 8554019554080

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.

689 : 1, 13, 53, 689

252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

121 : 1, 11, 121

435 : 1, 3, 5, 15, 29, 87, 145, 435

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 689,252,121,435,936, is 1.

Now, the common factors can be found like this.

689:13x 53

252:2x 2x 3x 3x 7

121:11x 11

435:3x 5x 29

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

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 3x 3x 3x 13 = 1404

Therefore, the value for common factors is 1404.

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 = 8554019554080/(1x1404)

LCM = 8554019554080/1404

LCM = 6092606520

Thus, we can understand that the LCM of 689,252,121,435,936 is 6092606520.

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

• LCM of 321, 608, 169, 446, 156
• LCM of 221, 408, 716, 637, 996
• LCM of 184, 758, 962, 108, 795
• LCM of 801, 310, 259, 368, 207
• LCM of 521, 261, 703, 536, 856

1. What is the LCM of 689, 252, 121, 435, 936?

Answer: LCM of 689, 252, 121, 435, 936 is 6092606520.

2. How to calculate the LCM of 689, 252, 121, 435, 936?

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 689, 252, 121, 435, 936.

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}.