Given numbers are 221,208,346,278

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

The LCM of 221,208,346,278 is 85030192.

Find LCM of 221,208,346,278 with Prime Factorization

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

2 x 13 x 17 x 8 x 173 x 139 = 85030192

Therefore, the lowest common multiple of 221,208,346,278 is 85030192.

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.

221 x 208 x 346 x 278 = 4421569984

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.

221 : 1, 13, 17, 221

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

346 : 1, 2, 173, 346

278 : 1, 2, 139, 278

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 221,208,346,278, is 1.

Now, the common factors can be found like this.

221:13x 17

208:2x 2x 2x 2x 13

346:2x 173

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 2x 13 = 52

Therefore, the value for common factors is 52.

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 = 4421569984/(1x52)

LCM = 4421569984/52

LCM = 85030192

Thus, we can understand that the LCM of 221,208,346,278 is 85030192.

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

• LCM of 845, 859, 782, 868
• LCM of 304, 669, 481, 915
• LCM of 463, 939, 194, 821
• LCM of 507, 735, 543, 483
• LCM of 545, 426, 196, 575

1. What is the LCM of 221, 208, 346, 278?

Answer: LCM of 221, 208, 346, 278 is 85030192.

2. How to calculate the LCM of 221, 208, 346, 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 221, 208, 346, 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}.