Given numbers are 596,212,990,770

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

The LCM of 596,212,990,770 is 109452420.

Find LCM of 596,212,990,770 with Prime Factorization

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

2 x 2 x 5 x 11 x 149 x 53 x 9 x 7 = 109452420

Therefore, the lowest common multiple of 596,212,990,770 is 109452420.

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.

596 x 212 x 990 x 770 = 96318129600

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.

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

212 : 1, 2, 4, 53, 106, 212

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 596,212,990,770, is 2.

Now, the common factors can be found like this.

596:2x 2x 149

212:2x 2x 53

990:2x 3x 3x 5x 11

770:2x 5x 7x 11

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 5x 11 = 440

Therefore, the value for common factors is 440.

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 = 96318129600/(2x440)

LCM = 96318129600/880

LCM = 109452420

Thus, we can understand that the LCM of 596,212,990,770 is 109452420.

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

• LCM of 163, 171, 617, 728
• LCM of 230, 543, 117, 307
• LCM of 855, 479, 427, 563
• LCM of 521, 856, 906, 134
• LCM of 622, 487, 186, 316

1. What is the LCM of 596, 212, 990, 770?

Answer: LCM of 596, 212, 990, 770 is 109452420.

2. How to calculate the LCM of 596, 212, 990, 770?

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 596, 212, 990, 770.

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}.