Given numbers are 240,461,481,428,418

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

The LCM of 240,461,481,428,418 is 1190110555920.

Find LCM of 240,461,481,428,418 with Prime Factorization

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

2 x 2 x 60 x 461 x 481 x 107 x 209 = 1190110555920

Therefore, the lowest common multiple of 240,461,481,428,418 is 1190110555920.

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.

240 x 461 x 481 x 428 x 418 = 9520884447360

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.

240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

461 : 1, 461

481 : 1, 13, 37, 481

428 : 1, 2, 4, 107, 214, 428

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 240,461,481,428,418, is 1.

Now, the common factors can be found like this.

240:2x 2x 2x 2x 3x 5

461:461

481:13x 37

428:2x 2x 107

418:2x 11x 19

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 2 = 8

Therefore, the value for common factors is 8.

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 = 9520884447360/(1x8)

LCM = 9520884447360/8

LCM = 1190110555920

Thus, we can understand that the LCM of 240,461,481,428,418 is 1190110555920.

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

• LCM of 880, 832, 300, 642, 575
• LCM of 480, 934, 896, 318, 855
• LCM of 171, 936, 127, 142, 492
• LCM of 431, 744, 992, 814, 205
• LCM of 109, 419, 739, 380, 703

1. What is the LCM of 240, 461, 481, 428, 418?

Answer: LCM of 240, 461, 481, 428, 418 is 1190110555920.

2. How to calculate the LCM of 240, 461, 481, 428, 418?

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 240, 461, 481, 428, 418.

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}.