Given numbers are 458,494,362,961

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

The LCM of 458,494,362,961 is 19677249566.

Find LCM of 458,494,362,961 with Prime Factorization

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

2 x 229 x 247 x 181 x 961 = 19677249566

Therefore, the lowest common multiple of 458,494,362,961 is 19677249566.

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.

458 x 494 x 362 x 961 = 78708998264

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.

458 : 1, 2, 229, 458

494 : 1, 2, 13, 19, 26, 38, 247, 494

362 : 1, 2, 181, 362

961 : 1, 31, 961

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 458,494,362,961, is 1.

Now, the common factors can be found like this.

458:2x 229

494:2x 13x 19

362:2x 181

961:31x 31

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 78708998264/(1x4)

LCM = 78708998264/4

LCM = 19677249566

Thus, we can understand that the LCM of 458,494,362,961 is 19677249566.

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

• LCM of 993, 945, 122, 142
• LCM of 623, 229, 126, 814
• LCM of 402, 575, 799, 714
• LCM of 576, 587, 747, 129
• LCM of 648, 629, 561, 870

1. What is the LCM of 458, 494, 362, 961?

Answer: LCM of 458, 494, 362, 961 is 19677249566.

2. How to calculate the LCM of 458, 494, 362, 961?

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 458, 494, 362, 961.

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}.