Given numbers are 121,435,106,596,648

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

The LCM of 121,435,106,596,648 is 89782256520.

Find LCM of 121,435,106,596,648 with Prime Factorization

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

2 x 2 x 3 x 121 x 145 x 53 x 149 x 54 = 89782256520

Therefore, the lowest common multiple of 121,435,106,596,648 is 89782256520.

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.

121 x 435 x 106 x 596 x 648 = 2154774156480

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.

121 : 1, 11, 121

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

106 : 1, 2, 53, 106

596 : 1, 2, 4, 149, 298, 596

648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 121,435,106,596,648, is 1.

Now, the common factors can be found like this.

121:11x 11

435:3x 5x 29

106:2x 53

596:2x 2x 149

648:2x 2x 2x 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 3 = 24

Therefore, the value for common factors is 24.

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 = 2154774156480/(1x24)

LCM = 2154774156480/24

LCM = 89782256520

Thus, we can understand that the LCM of 121,435,106,596,648 is 89782256520.

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

• LCM of 338, 564, 339, 676, 729
• LCM of 864, 740, 787, 479, 941
• LCM of 489, 736, 405, 352, 132
• LCM of 968, 133, 970, 420, 301
• LCM of 666, 818, 985, 496, 748

1. What is the LCM of 121, 435, 106, 596, 648?

Answer: LCM of 121, 435, 106, 596, 648 is 89782256520.

2. How to calculate the LCM of 121, 435, 106, 596, 648?

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 121, 435, 106, 596, 648.

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}.