Given numbers are 117,311,278,498

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

The LCM of 117,311,278,498 is 839593638.

Find LCM of 117,311,278,498 with Prime Factorization

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

2 x 3 x 39 x 311 x 139 x 83 = 839593638

Therefore, the lowest common multiple of 117,311,278,498 is 839593638.

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.

117 x 311 x 278 x 498 = 5037561828

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.

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

311 : 1, 311

278 : 1, 2, 139, 278

498 : 1, 2, 3, 6, 83, 166, 249, 498

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 117,311,278,498, is 1.

Now, the common factors can be found like this.

117:3x 3x 13

311:311

278:2x 139

498:2x 3x 83

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 = 5037561828/(1x6)

LCM = 5037561828/6

LCM = 839593638

Thus, we can understand that the LCM of 117,311,278,498 is 839593638.

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

• LCM of 712, 950, 391, 799
• LCM of 510, 799, 545, 304
• LCM of 926, 983, 947, 907
• LCM of 586, 792, 372, 711
• LCM of 748, 224, 822, 144

1. What is the LCM of 117, 311, 278, 498?

Answer: LCM of 117, 311, 278, 498 is 839593638.

2. How to calculate the LCM of 117, 311, 278, 498?

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 117, 311, 278, 498.

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}.