Given numbers are 726,514,218,172,207

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

The LCM of 726,514,218,172,207 is 120682357092.

Find LCM of 726,514,218,172,207 with Prime Factorization

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

2 x 3 x 121 x 257 x 109 x 86 x 69 = 120682357092

Therefore, the lowest common multiple of 726,514,218,172,207 is 120682357092.

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.

726 x 514 x 218 x 172 x 207 = 2896376570208

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.

726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

514 : 1, 2, 257, 514

218 : 1, 2, 109, 218

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

207 : 1, 3, 9, 23, 69, 207

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 726,514,218,172,207, is 1.

Now, the common factors can be found like this.

726:2x 3x 11x 11

514:2x 257

218:2x 109

172:2x 2x 43

207:3x 3x 23

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 3 = 24

Therefore, the value for common factors is 24.

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 = 2896376570208/(1x24)

LCM = 2896376570208/24

LCM = 120682357092

Thus, we can understand that the LCM of 726,514,218,172,207 is 120682357092.

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

• LCM of 803, 508, 825, 969, 786
• LCM of 307, 885, 788, 474, 136
• LCM of 931, 987, 995, 364, 323
• LCM of 841, 219, 392, 723, 380
• LCM of 462, 928, 544, 279, 413

1. What is the LCM of 726, 514, 218, 172, 207?

Answer: LCM of 726, 514, 218, 172, 207 is 120682357092.

2. How to calculate the LCM of 726, 514, 218, 172, 207?

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 726, 514, 218, 172, 207.

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}.