Given numbers are 510,296,766

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

The LCM of 510,296,766 is 28908840.

Find LCM of 510,296,766 with Prime Factorization

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

2 x 255 x 148 x 383 = 28908840

Therefore, the lowest common multiple of 510,296,766 is 28908840.

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 296 x 766 = 115635360

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

296 : 1, 2, 4, 8, 37, 74, 148, 296

766 : 1, 2, 383, 766

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 510,296,766, is 2.

Now, the common factors can be found like this.

510:2x 3x 5x 17

296:2x 2x 2x 37

766:2x 383

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 = 115635360/(2x2)

LCM = 115635360/4

LCM = 28908840

Thus, we can understand that the LCM of 510,296,766 is 28908840.

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

• LCM of 535, 269, 732
• LCM of 841, 367, 175
• LCM of 363, 950, 277
• LCM of 706, 532, 712
• LCM of 676, 908, 203

1. What is the LCM of 510, 296, 766?

Answer: LCM of 510, 296, 766 is 28908840.

2. How to calculate the LCM of 510, 296, 766?

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, 296, 766.

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}.