Given numbers are 752,241,414

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

The LCM of 752,241,414 is 37515024.

Find LCM of 752,241,414 with Prime Factorization

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

2 x 376 x 241 x 207 = 37515024

Therefore, the lowest common multiple of 752,241,414 is 37515024.

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.

752 x 241 x 414 = 75030048

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.

752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752

241 : 1, 241

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 752,241,414, is 1.

Now, the common factors can be found like this.

752:2x 2x 2x 2x 47

241:241

414:2x 3x 3x 23

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

2 = 2

Therefore, the value for common factors is 2.

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 = 75030048/(1x2)

LCM = 75030048/2

LCM = 37515024

Thus, we can understand that the LCM of 752,241,414 is 37515024.

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

• LCM of 468, 807, 139
• LCM of 249, 700, 732
• LCM of 691, 337, 841
• LCM of 204, 633, 580
• LCM of 789, 508, 511

1. What is the LCM of 752, 241, 414?

Answer: LCM of 752, 241, 414 is 37515024.

2. How to calculate the LCM of 752, 241, 414?

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 752, 241, 414.

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}.