Given numbers are 418,432,314,345,735

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

The LCM of 418,432,314,345,735 is 79877342160.

Find LCM of 418,432,314,345,735 with Prime Factorization

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

2 x 3 x 5 x 209 x 72 x 157 x 23 x 49 = 79877342160

Therefore, the lowest common multiple of 418,432,314,345,735 is 79877342160.

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.

418 x 432 x 314 x 345 x 735 = 14377921588800

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.

418 : 1, 2, 11, 19, 22, 38, 209, 418

432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

314 : 1, 2, 157, 314

345 : 1, 3, 5, 15, 23, 69, 115, 345

735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 418,432,314,345,735, is 1.

Now, the common factors can be found like this.

418:2x 11x 19

432:2x 2x 2x 2x 3x 3x 3

314:2x 157

345:3x 5x 23

735:3x 5x 7x 7

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 3x 3x 5 = 180

Therefore, the value for common factors is 180.

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 = 14377921588800/(1x180)

LCM = 14377921588800/180

LCM = 79877342160

Thus, we can understand that the LCM of 418,432,314,345,735 is 79877342160.

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

• LCM of 815, 146, 618, 822, 215
• LCM of 729, 117, 206, 947, 983
• LCM of 760, 847, 564, 476, 434
• LCM of 882, 480, 198, 739, 472
• LCM of 286, 370, 911, 766, 916

1. What is the LCM of 418, 432, 314, 345, 735?

Answer: LCM of 418, 432, 314, 345, 735 is 79877342160.

2. How to calculate the LCM of 418, 432, 314, 345, 735?

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 418, 432, 314, 345, 735.

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}.