Given numbers are 314,566,101,724

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

The LCM of 314,566,101,724 is 3248972444.

Find LCM of 314,566,101,724 with Prime Factorization

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

2 x 157 x 283 x 101 x 362 = 3248972444

Therefore, the lowest common multiple of 314,566,101,724 is 3248972444.

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.

314 x 566 x 101 x 724 = 12995889776

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.

314 : 1, 2, 157, 314

566 : 1, 2, 283, 566

101 : 1, 101

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 314,566,101,724, is 1.

Now, the common factors can be found like this.

314:2x 157

566:2x 283

101:101

724:2x 2x 181

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 12995889776/(1x4)

LCM = 12995889776/4

LCM = 3248972444

Thus, we can understand that the LCM of 314,566,101,724 is 3248972444.

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

• LCM of 718, 558, 546, 464
• LCM of 929, 996, 581, 272
• LCM of 535, 411, 955, 401
• LCM of 523, 310, 605, 635
• LCM of 478, 820, 996, 221

1. What is the LCM of 314, 566, 101, 724?

Answer: LCM of 314, 566, 101, 724 is 3248972444.

2. How to calculate the LCM of 314, 566, 101, 724?

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 314, 566, 101, 724.

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}.