Given numbers are 747,489,213

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

The LCM of 747,489,213 is 8645031.

Find LCM of 747,489,213 with Prime Factorization

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

3 x 249 x 163 x 71 = 8645031

Therefore, the lowest common multiple of 747,489,213 is 8645031.

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.

747 x 489 x 213 = 77805279

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.

747 : 1, 3, 9, 83, 249, 747

489 : 1, 3, 163, 489

213 : 1, 3, 71, 213

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 747,489,213, is 3.

Now, the common factors can be found like this.

747:3x 3x 83

489:3x 163

213:3x 71

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

3 = 3

Therefore, the value for common factors is 3.

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 = 77805279/(3x3)

LCM = 77805279/9

LCM = 8645031

Thus, we can understand that the LCM of 747,489,213 is 8645031.

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

• LCM of 849, 654, 229
• LCM of 981, 683, 241
• LCM of 452, 167, 901
• LCM of 907, 960, 714
• LCM of 586, 498, 402

1. What is the LCM of 747, 489, 213?

Answer: LCM of 747, 489, 213 is 8645031.

2. How to calculate the LCM of 747, 489, 213?

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 747, 489, 213.

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}.