Given numbers are 462,542,412,281

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

The LCM of 462,542,412,281 is 7247442972.

Find LCM of 462,542,412,281 with Prime Factorization

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

2 x 231 x 271 x 206 x 281 = 7247442972

Therefore, the lowest common multiple of 462,542,412,281 is 7247442972.

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 412 x 281 = 28989771888

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

412 : 1, 2, 4, 103, 206, 412

281 : 1, 281

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 462,542,412,281, is 1.

Now, the common factors can be found like this.

462:2x 3x 7x 11

542:2x 271

412:2x 2x 103

281:281

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 = 28989771888/(1x4)

LCM = 28989771888/4

LCM = 7247442972

Thus, we can understand that the LCM of 462,542,412,281 is 7247442972.

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

• LCM of 409, 651, 402, 784
• LCM of 151, 536, 558, 380
• LCM of 467, 585, 111, 309
• LCM of 568, 429, 980, 121
• LCM of 677, 765, 826, 518

1. What is the LCM of 462, 542, 412, 281?

Answer: LCM of 462, 542, 412, 281 is 7247442972.

2. How to calculate the LCM of 462, 542, 412, 281?

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, 412, 281.

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}.