Given numbers are 208,598,161,312

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

The LCM of 208,598,161,312 is 100464.

Find LCM of 208,598,161,312 with Prime Factorization

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

2 x 2 x 2 x 13 x 23 x 2 x 1 x 7 x 3 = 100464

Therefore, the lowest common multiple of 208,598,161,312 is 100464.

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.

208 x 598 x 161 x 312 = 6248057088

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.

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

598 : 1, 2, 13, 23, 26, 46, 299, 598

161 : 1, 7, 23, 161

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 208,598,161,312, is 1.

Now, the common factors can be found like this.

208:2x 2x 2x 2x 13

598:2x 13x 23

161:7x 23

312:2x 2x 2x 3x 13

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 13x 13x 23 = 62192

Therefore, the value for common factors is 62192.

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 = 6248057088/(1x62192)

LCM = 6248057088/62192

LCM = 100464

Thus, we can understand that the LCM of 208,598,161,312 is 100464.

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

• LCM of 585, 120, 704, 280
• LCM of 515, 807, 938, 315
• LCM of 756, 577, 844, 461
• LCM of 429, 312, 442, 659
• LCM of 315, 718, 612, 474

1. What is the LCM of 208, 598, 161, 312?

Answer: LCM of 208, 598, 161, 312 is 100464.

2. How to calculate the LCM of 208, 598, 161, 312?

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 208, 598, 161, 312.

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}.