Given numbers are 508,556,884,956,336

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

The LCM of 508,556,884,956,336 is 313291039152.

Find LCM of 508,556,884,956,336 with Prime Factorization

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

2 x 2 x 127 x 139 x 221 x 239 x 84 = 313291039152

Therefore, the lowest common multiple of 508,556,884,956,336 is 313291039152.

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.

508 x 556 x 884 x 956 x 336 = 80202506022912

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.

508 : 1, 2, 4, 127, 254, 508

556 : 1, 2, 4, 139, 278, 556

884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

956 : 1, 2, 4, 239, 478, 956

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

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 508,556,884,956,336, is 4.

Now, the common factors can be found like this.

508:2x 2x 127

556:2x 2x 139

884:2x 2x 13x 17

956:2x 2x 239

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

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 2x 2x 2x 2 = 64

Therefore, the value for common factors is 64.

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 = 80202506022912/(4x64)

LCM = 80202506022912/256

LCM = 313291039152

Thus, we can understand that the LCM of 508,556,884,956,336 is 313291039152.

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

• LCM of 353, 410, 327, 584, 195
• LCM of 878, 752, 263, 562, 879
• LCM of 366, 771, 232, 354, 201
• LCM of 599, 870, 899, 162, 768
• LCM of 287, 997, 542, 891, 906

1. What is the LCM of 508, 556, 884, 956, 336?

Answer: LCM of 508, 556, 884, 956, 336 is 313291039152.

2. How to calculate the LCM of 508, 556, 884, 956, 336?

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 508, 556, 884, 956, 336.

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}.