Given numbers are 331,214,605,748

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

The LCM of 331,214,605,748 is 1457055380.

Find LCM of 331,214,605,748 with Prime Factorization

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

2 x 11 x 331 x 107 x 55 x 34 = 1457055380

Therefore, the lowest common multiple of 331,214,605,748 is 1457055380.

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.

331 x 214 x 605 x 748 = 32055218360

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.

331 : 1, 331

214 : 1, 2, 107, 214

605 : 1, 5, 11, 55, 121, 605

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 331,214,605,748, is 1.

Now, the common factors can be found like this.

331:331

214:2x 107

605:5x 11x 11

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 11 = 22

Therefore, the value for common factors is 22.

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 = 32055218360/(1x22)

LCM = 32055218360/22

LCM = 1457055380

Thus, we can understand that the LCM of 331,214,605,748 is 1457055380.

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

• LCM of 826, 353, 500, 845
• LCM of 285, 914, 141, 939
• LCM of 114, 866, 147, 694
• LCM of 949, 736, 424, 928
• LCM of 495, 896, 693, 542

1. What is the LCM of 331, 214, 605, 748?

Answer: LCM of 331, 214, 605, 748 is 1457055380.

2. How to calculate the LCM of 331, 214, 605, 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 331, 214, 605, 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}.