Given numbers are 724,245,551,212,624

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

The LCM of 724,245,551,212,624 is 808084389840.

Find LCM of 724,245,551,212,624 with Prime Factorization

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

2 x 2 x 181 x 245 x 551 x 53 x 156 = 808084389840

Therefore, the lowest common multiple of 724,245,551,212,624 is 808084389840.

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.

724 x 245 x 551 x 212 x 624 = 12929350237440

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.

724 : 1, 2, 4, 181, 362, 724

245 : 1, 5, 7, 35, 49, 245

551 : 1, 19, 29, 551

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

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 724,245,551,212,624, is 1.

Now, the common factors can be found like this.

724:2x 2x 181

245:5x 7x 7

551:19x 29

212:2x 2x 53

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 2 = 16

Therefore, the value for common factors is 16.

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 = 12929350237440/(1x16)

LCM = 12929350237440/16

LCM = 808084389840

Thus, we can understand that the LCM of 724,245,551,212,624 is 808084389840.

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

• LCM of 358, 655, 691, 930, 199
• LCM of 955, 616, 440, 643, 987
• LCM of 559, 836, 779, 370, 711
• LCM of 817, 562, 197, 684, 676
• LCM of 176, 479, 507, 600, 922

1. What is the LCM of 724, 245, 551, 212, 624?

Answer: LCM of 724, 245, 551, 212, 624 is 808084389840.

2. How to calculate the LCM of 724, 245, 551, 212, 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 724, 245, 551, 212, 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}.