Given numbers are 507,492,317,278

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

The LCM of 507,492,317,278 is 3663750324.

Find LCM of 507,492,317,278 with Prime Factorization

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

2 x 3 x 169 x 82 x 317 x 139 = 3663750324

Therefore, the lowest common multiple of 507,492,317,278 is 3663750324.

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.

507 x 492 x 317 x 278 = 21982501944

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.

507 : 1, 3, 13, 39, 169, 507

492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

317 : 1, 317

278 : 1, 2, 139, 278

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 507,492,317,278, is 1.

Now, the common factors can be found like this.

507:3x 13x 13

492:2x 2x 3x 41

317:317

278:2x 139

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 = 21982501944/(1x6)

LCM = 21982501944/6

LCM = 3663750324

Thus, we can understand that the LCM of 507,492,317,278 is 3663750324.

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

• LCM of 995, 408, 173, 393
• LCM of 385, 229, 461, 893
• LCM of 746, 259, 758, 127
• LCM of 563, 942, 630, 170
• LCM of 833, 908, 776, 467

1. What is the LCM of 507, 492, 317, 278?

Answer: LCM of 507, 492, 317, 278 is 3663750324.

2. How to calculate the LCM of 507, 492, 317, 278?

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 507, 492, 317, 278.

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}.