Given numbers are 472,381,412,815,748

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

The LCM of 472,381,412,815,748 is 2822951483880.

Find LCM of 472,381,412,815,748 with Prime Factorization

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

2 x 2 x 118 x 381 x 103 x 815 x 187 = 2822951483880

Therefore, the lowest common multiple of 472,381,412,815,748 is 2822951483880.

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.

472 x 381 x 412 x 815 x 748 = 45167223742080

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.

472 : 1, 2, 4, 8, 59, 118, 236, 472

381 : 1, 3, 127, 381

412 : 1, 2, 4, 103, 206, 412

815 : 1, 5, 163, 815

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 472,381,412,815,748, is 1.

Now, the common factors can be found like this.

472:2x 2x 2x 59

381:3x 127

412:2x 2x 103

815:5x 163

748:2x 2x 11x 17

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 = 45167223742080/(1x16)

LCM = 45167223742080/16

LCM = 2822951483880

Thus, we can understand that the LCM of 472,381,412,815,748 is 2822951483880.

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

• LCM of 507, 954, 277, 332, 375
• LCM of 702, 151, 485, 564, 401
• LCM of 674, 457, 254, 462, 604
• LCM of 506, 988, 270, 873, 932
• LCM of 904, 280, 278, 983, 949

1. What is the LCM of 472, 381, 412, 815, 748?

Answer: LCM of 472, 381, 412, 815, 748 is 2822951483880.

2. How to calculate the LCM of 472, 381, 412, 815, 748?

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 472, 381, 412, 815, 748.

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}.