Given numbers are 726,924,212,440

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

The LCM of 726,924,212,440 is 5386920.

Find LCM of 726,924,212,440 with Prime Factorization

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

2 x 2 x 3 x 11 x 11 x 7 x 53 x 10 = 5386920

Therefore, the lowest common multiple of 726,924,212,440 is 5386920.

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.

726 x 924 x 212 x 440 = 62574462720

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.

726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

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

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

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 726,924,212,440, is 2.

Now, the common factors can be found like this.

726:2x 3x 11x 11

924:2x 2x 3x 7x 11

212:2x 2x 53

440:2x 2x 2x 5x 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 2x 3x 11x 11 = 5808

Therefore, the value for common factors is 5808.

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 = 62574462720/(2x5808)

LCM = 62574462720/11616

LCM = 5386920

Thus, we can understand that the LCM of 726,924,212,440 is 5386920.

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

• LCM of 894, 742, 762, 680
• LCM of 451, 490, 800, 830
• LCM of 954, 771, 983, 328
• LCM of 398, 284, 660, 709
• LCM of 440, 547, 131, 207

1. What is the LCM of 726, 924, 212, 440?

Answer: LCM of 726, 924, 212, 440 is 5386920.

2. How to calculate the LCM of 726, 924, 212, 440?

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 726, 924, 212, 440.

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}.