Given numbers are 743,705,415

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

The LCM of 743,705,415 is 43476645.

Find LCM of 743,705,415 with Prime Factorization

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

5 x 743 x 141 x 83 = 43476645

Therefore, the lowest common multiple of 743,705,415 is 43476645.

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 705 x 415 = 217383225

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

705 : 1, 3, 5, 15, 47, 141, 235, 705

415 : 1, 5, 83, 415

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 743,705,415, is 1.

Now, the common factors can be found like this.

743:743

705:3x 5x 47

415:5x 83

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

5 = 5

Therefore, the value for common factors is 5.

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 = 217383225/(1x5)

LCM = 217383225/5

LCM = 43476645

Thus, we can understand that the LCM of 743,705,415 is 43476645.

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

• LCM of 436, 319, 852
• LCM of 574, 814, 441
• LCM of 761, 251, 767
• LCM of 993, 223, 990
• LCM of 168, 825, 120

1. What is the LCM of 743, 705, 415?

Answer: LCM of 743, 705, 415 is 43476645.

2. How to calculate the LCM of 743, 705, 415?

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, 705, 415.

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}.