Given numbers are 630,681,924,996

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

The LCM of 630,681,924,996 is 261136260.

Find LCM of 630,681,924,996 with Prime Factorization

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

2 x 2 x 3 x 7 x 15 x 227 x 11 x 83 = 261136260

Therefore, the lowest common multiple of 630,681,924,996 is 261136260.

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.

630 x 681 x 924 x 996 = 394838025120

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.

630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

681 : 1, 3, 227, 681

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 630,681,924,996, is 3.

Now, the common factors can be found like this.

630:2x 3x 3x 5x 7

681:3x 227

924:2x 2x 3x 7x 11

996:2x 2x 3x 83

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 7 = 504

Therefore, the value for common factors is 504.

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 = 394838025120/(3x504)

LCM = 394838025120/1512

LCM = 261136260

Thus, we can understand that the LCM of 630,681,924,996 is 261136260.

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

• LCM of 386, 765, 714, 962
• LCM of 924, 676, 920, 480
• LCM of 285, 157, 393, 969
• LCM of 940, 278, 269, 398
• LCM of 817, 905, 408, 973

1. What is the LCM of 630, 681, 924, 996?

Answer: LCM of 630, 681, 924, 996 is 261136260.

2. How to calculate the LCM of 630, 681, 924, 996?

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 630, 681, 924, 996.

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}.