Given numbers are 418,736,144,395

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

The LCM of 418,736,144,395 is 546844320.

Find LCM of 418,736,144,395 with Prime Factorization

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

2 x 2 x 2 x 2 x 209 x 46 x 9 x 395 = 546844320

Therefore, the lowest common multiple of 418,736,144,395 is 546844320.

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 736 x 144 x 395 = 17499018240

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

736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

395 : 1, 5, 79, 395

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 418,736,144,395, is 1.

Now, the common factors can be found like this.

418:2x 11x 19

736:2x 2x 2x 2x 2x 23

144:2x 2x 2x 2x 3x 3

395:5x 79

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 2x 2x 2 = 32

Therefore, the value for common factors is 32.

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 = 17499018240/(1x32)

LCM = 17499018240/32

LCM = 546844320

Thus, we can understand that the LCM of 418,736,144,395 is 546844320.

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

• LCM of 712, 114, 118, 921
• LCM of 677, 210, 310, 369
• LCM of 182, 934, 733, 319
• LCM of 885, 108, 353, 570
• LCM of 374, 150, 947, 219

1. What is the LCM of 418, 736, 144, 395?

Answer: LCM of 418, 736, 144, 395 is 546844320.

2. How to calculate the LCM of 418, 736, 144, 395?

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, 736, 144, 395.

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}.