Given numbers are 418,745,434,748,608

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

The LCM of 418,745,434,748,608 is 18380663840.

Find LCM of 418,745,434,748,608 with Prime Factorization

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

2 x 2 x 11 x 19 x 1 x 745 x 217 x 17 x 8 = 18380663840

Therefore, the lowest common multiple of 418,745,434,748,608 is 18380663840.

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.

418 x 745 x 434 x 748 x 608 = 61464939880960

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.

418 : 1, 2, 11, 19, 22, 38, 209, 418

745 : 1, 5, 149, 745

434 : 1, 2, 7, 14, 31, 62, 217, 434

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

608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 418,745,434,748,608, is 1.

Now, the common factors can be found like this.

418:2x 11x 19

745:5x 149

434:2x 7x 31

748:2x 2x 11x 17

608:2x 2x 2x 2x 2x 19

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 2x 11x 19 = 3344

Therefore, the value for common factors is 3344.

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 = 61464939880960/(1x3344)

LCM = 61464939880960/3344

LCM = 18380663840

Thus, we can understand that the LCM of 418,745,434,748,608 is 18380663840.

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

• LCM of 625, 171, 552, 406, 517
• LCM of 654, 523, 328, 108, 699
• LCM of 380, 898, 837, 902, 916
• LCM of 153, 595, 870, 655, 804
• LCM of 917, 117, 459, 608, 510

1. What is the LCM of 418, 745, 434, 748, 608?

Answer: LCM of 418, 745, 434, 748, 608 is 18380663840.

2. How to calculate the LCM of 418, 745, 434, 748, 608?

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 418, 745, 434, 748, 608.

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}.