Given numbers are 722,400,836,624

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

The LCM of 722,400,836,624 is 61947600.

Find LCM of 722,400,836,624 with Prime Factorization

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

2 x 2 x 2 x 2 x 19 x 19 x 25 x 11 x 39 = 61947600

Therefore, the lowest common multiple of 722,400,836,624 is 61947600.

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.

722 x 400 x 836 x 624 = 150656563200

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.

722 : 1, 2, 19, 38, 361, 722

400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 722,400,836,624, is 2.

Now, the common factors can be found like this.

722:2x 19x 19

400:2x 2x 2x 2x 5x 5

836:2x 2x 11x 19

624:2x 2x 2x 2x 3x 13

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 2x 2x 19 = 1216

Therefore, the value for common factors is 1216.

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 = 150656563200/(2x1216)

LCM = 150656563200/2432

LCM = 61947600

Thus, we can understand that the LCM of 722,400,836,624 is 61947600.

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

• LCM of 925, 726, 155, 132
• LCM of 804, 233, 685, 221
• LCM of 280, 633, 978, 237
• LCM of 664, 648, 179, 630
• LCM of 902, 617, 932, 527

1. What is the LCM of 722, 400, 836, 624?

Answer: LCM of 722, 400, 836, 624 is 61947600.

2. How to calculate the LCM of 722, 400, 836, 624?

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 722, 400, 836, 624.

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}.