Given numbers are 714,438,996,252

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

The LCM of 714,438,996,252 is 25956756.

Find LCM of 714,438,996,252 with Prime Factorization

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

2 x 2 x 3 x 7 x 17 x 73 x 83 x 3 = 25956756

Therefore, the lowest common multiple of 714,438,996,252 is 25956756.

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.

714 x 438 x 996 x 252 = 78493230144

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.

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

438 : 1, 2, 3, 6, 73, 146, 219, 438

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

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

6 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 714,438,996,252, is 6.

Now, the common factors can be found like this.

714:2x 3x 7x 17

438:2x 3x 73

996:2x 2x 3x 83

252:2x 2x 3x 3x 7

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 = 78493230144/(6x504)

LCM = 78493230144/3024

LCM = 25956756

Thus, we can understand that the LCM of 714,438,996,252 is 25956756.

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

• LCM of 615, 502, 414, 291
• LCM of 333, 262, 799, 927
• LCM of 438, 507, 549, 402
• LCM of 477, 674, 945, 293
• LCM of 683, 108, 615, 408

1. What is the LCM of 714, 438, 996, 252?

Answer: LCM of 714, 438, 996, 252 is 25956756.

2. How to calculate the LCM of 714, 438, 996, 252?

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 714, 438, 996, 252.

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}.