Given numbers are 414,187,224,973,206

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

The LCM of 414,187,224,973,206 is 124140072672.

Find LCM of 414,187,224,973,206 with Prime Factorization

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

2 x 7 x 207 x 187 x 16 x 139 x 103 = 124140072672

Therefore, the lowest common multiple of 414,187,224,973,206 is 124140072672.

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.

414 x 187 x 224 x 973 x 206 = 3475922034816

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.

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

187 : 1, 11, 17, 187

224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

973 : 1, 7, 139, 973

206 : 1, 2, 103, 206

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 414,187,224,973,206, is 1.

Now, the common factors can be found like this.

414:2x 3x 3x 23

187:11x 17

224:2x 2x 2x 2x 2x 7

973:7x 139

206:2x 103

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 7 = 28

Therefore, the value for common factors is 28.

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 = 3475922034816/(1x28)

LCM = 3475922034816/28

LCM = 124140072672

Thus, we can understand that the LCM of 414,187,224,973,206 is 124140072672.

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

• LCM of 494, 911, 471, 980, 570
• LCM of 334, 436, 791, 289, 267
• LCM of 313, 714, 354, 762, 702
• LCM of 388, 197, 615, 274, 316
• LCM of 937, 142, 947, 810, 719

1. What is the LCM of 414, 187, 224, 973, 206?

Answer: LCM of 414, 187, 224, 973, 206 is 124140072672.

2. How to calculate the LCM of 414, 187, 224, 973, 206?

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 414, 187, 224, 973, 206.

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}.