Given numbers are 510,308,117,433

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

The LCM of 510,308,117,433 is 1326304980.

Find LCM of 510,308,117,433 with Prime Factorization

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

2 x 3 x 85 x 154 x 39 x 433 = 1326304980

Therefore, the lowest common multiple of 510,308,117,433 is 1326304980.

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 308 x 117 x 433 = 7957829880

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

308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

117 : 1, 3, 9, 13, 39, 117

433 : 1, 433

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 510,308,117,433, is 1.

Now, the common factors can be found like this.

510:2x 3x 5x 17

308:2x 2x 7x 11

117:3x 3x 13

433:433

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 7957829880/(1x6)

LCM = 7957829880/6

LCM = 1326304980

Thus, we can understand that the LCM of 510,308,117,433 is 1326304980.

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

• LCM of 217, 494, 389, 535
• LCM of 478, 983, 725, 439
• LCM of 530, 167, 733, 628
• LCM of 893, 554, 549, 527
• LCM of 519, 266, 108, 531

1. What is the LCM of 510, 308, 117, 433?

Answer: LCM of 510, 308, 117, 433 is 1326304980.

2. How to calculate the LCM of 510, 308, 117, 433?

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, 308, 117, 433.

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}.