Given numbers are 506,706,336,510

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

The LCM of 506,706,336,510 is 2550665040.

Find LCM of 506,706,336,510 with Prime Factorization

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

2 x 3 x 253 x 353 x 56 x 85 = 2550665040

Therefore, the lowest common multiple of 506,706,336,510 is 2550665040.

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.

506 x 706 x 336 x 510 = 61215960960

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.

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

706 : 1, 2, 353, 706

336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 506,706,336,510, is 2.

Now, the common factors can be found like this.

506:2x 11x 23

706:2x 353

336:2x 2x 2x 2x 3x 7

510:2x 3x 5x 17

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

2x 2x 3 = 12

Therefore, the value for common factors is 12.

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 = 61215960960/(2x12)

LCM = 61215960960/24

LCM = 2550665040

Thus, we can understand that the LCM of 506,706,336,510 is 2550665040.

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

• LCM of 151, 856, 915, 801
• LCM of 766, 308, 710, 392
• LCM of 114, 194, 584, 841
• LCM of 955, 144, 729, 483
• LCM of 140, 838, 361, 264

1. What is the LCM of 506, 706, 336, 510?

Answer: LCM of 506, 706, 336, 510 is 2550665040.

2. How to calculate the LCM of 506, 706, 336, 510?

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 506, 706, 336, 510.

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}.