Given numbers are 461,982,578,724,374

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

The LCM of 461,982,578,724,374 is 520968556196.

Find LCM of 461,982,578,724,374 with Prime Factorization

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

2 x 17 x 461 x 491 x 17 x 362 x 11 = 520968556196

Therefore, the lowest common multiple of 461,982,578,724,374 is 520968556196.

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 982 x 578 x 724 x 374 = 70851723642656

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

982 : 1, 2, 491, 982

578 : 1, 2, 17, 34, 289, 578

724 : 1, 2, 4, 181, 362, 724

374 : 1, 2, 11, 17, 22, 34, 187, 374

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 461,982,578,724,374, is 1.

Now, the common factors can be found like this.

461:461

982:2x 491

578:2x 17x 17

724:2x 2x 181

374:2x 11x 17

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 17 = 136

Therefore, the value for common factors is 136.

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 = 70851723642656/(1x136)

LCM = 70851723642656/136

LCM = 520968556196

Thus, we can understand that the LCM of 461,982,578,724,374 is 520968556196.

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

• LCM of 387, 311, 941, 553, 749
• LCM of 818, 710, 195, 721, 929
• LCM of 446, 776, 290, 642, 419
• LCM of 942, 784, 870, 519, 456
• LCM of 425, 773, 854, 784, 377

1. What is the LCM of 461, 982, 578, 724, 374?

Answer: LCM of 461, 982, 578, 724, 374 is 520968556196.

2. How to calculate the LCM of 461, 982, 578, 724, 374?

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, 982, 578, 724, 374.

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}.