Given numbers are 462,542,478

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

The LCM of 462,542,478 is 29923278.

Find LCM of 462,542,478 with Prime Factorization

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

2 x 231 x 271 x 239 = 29923278

Therefore, the lowest common multiple of 462,542,478 is 29923278.

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 542 x 478 = 119693112

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

542 : 1, 2, 271, 542

478 : 1, 2, 239, 478

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 462,542,478, is 2.

Now, the common factors can be found like this.

462:2x 3x 7x 11

542:2x 271

478:2x 239

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

2 = 2

Therefore, the value for common factors is 2.

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 = 119693112/(2x2)

LCM = 119693112/4

LCM = 29923278

Thus, we can understand that the LCM of 462,542,478 is 29923278.

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

• LCM of 529, 487, 342
• LCM of 862, 134, 746
• LCM of 626, 353, 660
• LCM of 856, 488, 456
• LCM of 952, 353, 986

1. What is the LCM of 462, 542, 478?

Answer: LCM of 462, 542, 478 is 29923278.

2. How to calculate the LCM of 462, 542, 478?

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, 542, 478.

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}.