Given numbers are 394,209,172,414,148

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

The LCM of 394,209,172,414,148 is 54239169204.

Find LCM of 394,209,172,414,148 with Prime Factorization

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

2 x 2 x 197 x 209 x 43 x 207 x 37 = 54239169204

Therefore, the lowest common multiple of 394,209,172,414,148 is 54239169204.

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.

394 x 209 x 172 x 414 x 148 = 867826707264

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.

394 : 1, 2, 197, 394

209 : 1, 11, 19, 209

172 : 1, 2, 4, 43, 86, 172

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

148 : 1, 2, 4, 37, 74, 148

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 394,209,172,414,148, is 1.

Now, the common factors can be found like this.

394:2x 197

209:11x 19

172:2x 2x 43

414:2x 3x 3x 23

148:2x 2x 37

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 2 = 16

Therefore, the value for common factors is 16.

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 = 867826707264/(1x16)

LCM = 867826707264/16

LCM = 54239169204

Thus, we can understand that the LCM of 394,209,172,414,148 is 54239169204.

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

• LCM of 463, 722, 162, 157, 321
• LCM of 967, 887, 655, 268, 131
• LCM of 799, 525, 151, 910, 634
• LCM of 121, 584, 977, 967, 620
• LCM of 319, 939, 152, 474, 625

1. What is the LCM of 394, 209, 172, 414, 148?

Answer: LCM of 394, 209, 172, 414, 148 is 54239169204.

2. How to calculate the LCM of 394, 209, 172, 414, 148?

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 394, 209, 172, 414, 148.

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}.