Given numbers are 460,511,474

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

The LCM of 460,511,474 is 55709220.

Find LCM of 460,511,474 with Prime Factorization

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

2 x 230 x 511 x 237 = 55709220

Therefore, the lowest common multiple of 460,511,474 is 55709220.

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.

460 x 511 x 474 = 111418440

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.

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

511 : 1, 7, 73, 511

474 : 1, 2, 3, 6, 79, 158, 237, 474

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,511,474, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

511:7x 73

474:2x 3x 79

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 = 111418440/(1x2)

LCM = 111418440/2

LCM = 55709220

Thus, we can understand that the LCM of 460,511,474 is 55709220.

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

• LCM of 473, 247, 531
• LCM of 644, 120, 834
• LCM of 989, 743, 731
• LCM of 375, 748, 120
• LCM of 975, 441, 103

1. What is the LCM of 460, 511, 474?

Answer: LCM of 460, 511, 474 is 55709220.

2. How to calculate the LCM of 460, 511, 474?

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 460, 511, 474.

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}.