Given numbers are 743,928,478,580,769

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

The LCM of 743,928,478,580,769 is 633623148320.

Find LCM of 743,928,478,580,769 with Prime Factorization

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

2 x 2 x 29 x 743 x 8 x 239 x 5 x 769 = 633623148320

Therefore, the lowest common multiple of 743,928,478,580,769 is 633623148320.

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.

743 x 928 x 478 x 580 x 769 = 147000570410240

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.

743 : 1, 743

928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

478 : 1, 2, 239, 478

580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

769 : 1, 769

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 743,928,478,580,769, is 1.

Now, the common factors can be found like this.

743:743

928:2x 2x 2x 2x 2x 29

478:2x 239

580:2x 2x 5x 29

769:769

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 29 = 232

Therefore, the value for common factors is 232.

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 = 147000570410240/(1x232)

LCM = 147000570410240/232

LCM = 633623148320

Thus, we can understand that the LCM of 743,928,478,580,769 is 633623148320.

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

• LCM of 598, 754, 310, 109, 601
• LCM of 453, 179, 608, 379, 896
• LCM of 217, 224, 368, 199, 166
• LCM of 304, 454, 804, 723, 948
• LCM of 212, 844, 460, 976, 700

1. What is the LCM of 743, 928, 478, 580, 769?

Answer: LCM of 743, 928, 478, 580, 769 is 633623148320.

2. How to calculate the LCM of 743, 928, 478, 580, 769?

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 743, 928, 478, 580, 769.

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}.