Given numbers are 361,578,630,688,208

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

The LCM of 361,578,630,688,208 is 293932351440.

Find LCM of 361,578,630,688,208 with Prime Factorization

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

2 x 2 x 2 x 2 x 361 x 289 x 315 x 43 x 13 = 293932351440

Therefore, the lowest common multiple of 361,578,630,688,208 is 293932351440.

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.

361 x 578 x 630 x 688 x 208 = 18811670492160

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.

361 : 1, 19, 361

578 : 1, 2, 17, 34, 289, 578

630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 361,578,630,688,208, is 1.

Now, the common factors can be found like this.

361:19x 19

578:2x 17x 17

630:2x 3x 3x 5x 7

688:2x 2x 2x 2x 43

208:2x 2x 2x 2x 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 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 = 18811670492160/(1x64)

LCM = 18811670492160/64

LCM = 293932351440

Thus, we can understand that the LCM of 361,578,630,688,208 is 293932351440.

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

• LCM of 980, 182, 577, 637, 678
• LCM of 303, 770, 752, 172, 975
• LCM of 938, 517, 917, 938, 959
• LCM of 351, 890, 200, 542, 757
• LCM of 164, 868, 951, 136, 950

1. What is the LCM of 361, 578, 630, 688, 208?

Answer: LCM of 361, 578, 630, 688, 208 is 293932351440.

2. How to calculate the LCM of 361, 578, 630, 688, 208?

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 361, 578, 630, 688, 208.

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}.