Given numbers are 510,692,506

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

The LCM of 510,692,506 is 44644380.

Find LCM of 510,692,506 with Prime Factorization

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

2 x 255 x 346 x 253 = 44644380

Therefore, the lowest common multiple of 510,692,506 is 44644380.

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.

510 x 692 x 506 = 178577520

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.

510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

692 : 1, 2, 4, 173, 346, 692

506 : 1, 2, 11, 22, 23, 46, 253, 506

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 510,692,506, is 2.

Now, the common factors can be found like this.

510:2x 3x 5x 17

692:2x 2x 173

506:2x 11x 23

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 = 178577520/(2x2)

LCM = 178577520/4

LCM = 44644380

Thus, we can understand that the LCM of 510,692,506 is 44644380.

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

• LCM of 320, 990, 467
• LCM of 509, 142, 339
• LCM of 265, 275, 211
• LCM of 419, 570, 811
• LCM of 721, 621, 310

1. What is the LCM of 510, 692, 506?

Answer: LCM of 510, 692, 506 is 44644380.

2. How to calculate the LCM of 510, 692, 506?

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 510, 692, 506.

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}.