Given numbers are 724,214,525,283

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

The LCM of 724,214,525,283 is 11509808100.

Find LCM of 724,214,525,283 with Prime Factorization

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

2 x 362 x 107 x 525 x 283 = 11509808100

Therefore, the lowest common multiple of 724,214,525,283 is 11509808100.

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 214 x 525 x 283 = 23019616200

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

214 : 1, 2, 107, 214

525 : 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

283 : 1, 283

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 724,214,525,283, is 1.

Now, the common factors can be found like this.

724:2x 2x 181

214:2x 107

525:3x 5x 5x 7

283:283

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2 = 2

Therefore, the value for common factors is 2.

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 = 23019616200/(1x2)

LCM = 23019616200/2

LCM = 11509808100

Thus, we can understand that the LCM of 724,214,525,283 is 11509808100.

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

• LCM of 603, 964, 300, 390
• LCM of 746, 850, 818, 296
• LCM of 697, 303, 768, 639
• LCM of 360, 133, 731, 923
• LCM of 548, 843, 778, 751

1. What is the LCM of 724, 214, 525, 283?

Answer: LCM of 724, 214, 525, 283 is 11509808100.

2. How to calculate the LCM of 724, 214, 525, 283?

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, 214, 525, 283.

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}.