Given numbers are 435,242,303,414

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

The LCM of 435,242,303,414 is 733626630.

Find LCM of 435,242,303,414 with Prime Factorization

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

2 x 3 x 145 x 121 x 101 x 69 = 733626630

Therefore, the lowest common multiple of 435,242,303,414 is 733626630.

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.

435 x 242 x 303 x 414 = 13205279340

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.

435 : 1, 3, 5, 15, 29, 87, 145, 435

242 : 1, 2, 11, 22, 121, 242

303 : 1, 3, 101, 303

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 435,242,303,414, is 1.

Now, the common factors can be found like this.

435:3x 5x 29

242:2x 11x 11

303:3x 101

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 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 13205279340/(1x18)

LCM = 13205279340/18

LCM = 733626630

Thus, we can understand that the LCM of 435,242,303,414 is 733626630.

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

• LCM of 650, 249, 599, 560
• LCM of 975, 363, 515, 148
• LCM of 233, 369, 681, 788
• LCM of 756, 945, 242, 769
• LCM of 611, 381, 657, 890

1. What is the LCM of 435, 242, 303, 414?

Answer: LCM of 435, 242, 303, 414 is 733626630.

2. How to calculate the LCM of 435, 242, 303, 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 435, 242, 303, 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}.