Given numbers are 350,412,118,414

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

The LCM of 350,412,118,414 is 880557300.

Find LCM of 350,412,118,414 with Prime Factorization

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

2 x 175 x 206 x 59 x 207 = 880557300

Therefore, the lowest common multiple of 350,412,118,414 is 880557300.

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.

350 x 412 x 118 x 414 = 7044458400

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.

350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

412 : 1, 2, 4, 103, 206, 412

118 : 1, 2, 59, 118

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 350,412,118,414, is 2.

Now, the common factors can be found like this.

350:2x 5x 5x 7

412:2x 2x 103

118:2x 59

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.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 7044458400/(2x4)

LCM = 7044458400/8

LCM = 880557300

Thus, we can understand that the LCM of 350,412,118,414 is 880557300.

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

• LCM of 808, 206, 731, 539
• LCM of 380, 174, 544, 594
• LCM of 813, 573, 736, 470
• LCM of 225, 573, 627, 651
• LCM of 129, 492, 607, 513

1. What is the LCM of 350, 412, 118, 414?

Answer: LCM of 350, 412, 118, 414 is 880557300.

2. How to calculate the LCM of 350, 412, 118, 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 350, 412, 118, 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}.