Given numbers are 461,241,352,676,624

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

The LCM of 461,241,352,676,624 is 19827528864.

Find LCM of 461,241,352,676,624 with Prime Factorization

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

2 x 2 x 2 x 2 x 13 x 461 x 241 x 22 x 13 x 3 = 19827528864

Therefore, the lowest common multiple of 461,241,352,676,624 is 19827528864.

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.

461 x 241 x 352 x 676 x 624 = 16496504014848

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.

461 : 1, 461

241 : 1, 241

352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 461,241,352,676,624, is 1.

Now, the common factors can be found like this.

461:461

241:241

352:2x 2x 2x 2x 2x 11

676:2x 2x 13x 13

624:2x 2x 2x 2x 3x 13

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 2x 2x 13 = 832

Therefore, the value for common factors is 832.

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 = 16496504014848/(1x832)

LCM = 16496504014848/832

LCM = 19827528864

Thus, we can understand that the LCM of 461,241,352,676,624 is 19827528864.

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

• LCM of 731, 378, 274, 578, 634
• LCM of 237, 345, 153, 314, 102
• LCM of 204, 198, 912, 835, 619
• LCM of 646, 431, 906, 939, 170
• LCM of 732, 614, 868, 420, 897

1. What is the LCM of 461, 241, 352, 676, 624?

Answer: LCM of 461, 241, 352, 676, 624 is 19827528864.

2. How to calculate the LCM of 461, 241, 352, 676, 624?

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 461, 241, 352, 676, 624.

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}.