Given numbers are 314,157,622,220,217

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

The LCM of 314,157,622,220,217 is 2331000980.

Find LCM of 314,157,622,220,217 with Prime Factorization

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

2 x 157 x 1 x 1 x 311 x 110 x 217 = 2331000980

Therefore, the lowest common multiple of 314,157,622,220,217 is 2331000980.

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.

314 x 157 x 622 x 220 x 217 = 1463868615440

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.

314 : 1, 2, 157, 314

157 : 1, 157

622 : 1, 2, 311, 622

220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

217 : 1, 7, 31, 217

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 314,157,622,220,217, is 1.

Now, the common factors can be found like this.

314:2x 157

157:157

622:2x 311

220:2x 2x 5x 11

217:7x 31

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 157 = 628

Therefore, the value for common factors is 628.

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 = 1463868615440/(1x628)

LCM = 1463868615440/628

LCM = 2331000980

Thus, we can understand that the LCM of 314,157,622,220,217 is 2331000980.

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

• LCM of 608, 309, 494, 542, 688
• LCM of 271, 801, 398, 140, 116
• LCM of 966, 463, 885, 951, 978
• LCM of 504, 972, 702, 127, 610
• LCM of 508, 240, 191, 505, 452

1. What is the LCM of 314, 157, 622, 220, 217?

Answer: LCM of 314, 157, 622, 220, 217 is 2331000980.

2. How to calculate the LCM of 314, 157, 622, 220, 217?

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 314, 157, 622, 220, 217.

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}.