Given numbers are 462,606,522,291,988

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

The LCM of 462,606,522,291,988 is 194527625292.

Find LCM of 462,606,522,291,988 with Prime Factorization

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

2 x 3 x 77 x 101 x 87 x 97 x 494 = 194527625292

Therefore, the lowest common multiple of 462,606,522,291,988 is 194527625292.

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.

462 x 606 x 522 x 291 x 988 = 42017967063072

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.

462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

606 : 1, 2, 3, 6, 101, 202, 303, 606

522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

291 : 1, 3, 97, 291

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 462,606,522,291,988, is 1.

Now, the common factors can be found like this.

462:2x 3x 7x 11

606:2x 3x 101

522:2x 3x 3x 29

291:3x 97

988:2x 2x 13x 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 2x 3x 3x 3 = 216

Therefore, the value for common factors is 216.

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 = 42017967063072/(1x216)

LCM = 42017967063072/216

LCM = 194527625292

Thus, we can understand that the LCM of 462,606,522,291,988 is 194527625292.

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

• LCM of 312, 713, 744, 639, 624
• LCM of 222, 754, 376, 681, 748
• LCM of 303, 817, 400, 887, 144
• LCM of 936, 430, 901, 762, 174
• LCM of 596, 868, 271, 387, 262

1. What is the LCM of 462, 606, 522, 291, 988?

Answer: LCM of 462, 606, 522, 291, 988 is 194527625292.

2. How to calculate the LCM of 462, 606, 522, 291, 988?

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 462, 606, 522, 291, 988.

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}.