Given numbers are 217,728,343,118,357

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

The LCM of 217,728,343,118,357 is 3327448488.

Find LCM of 217,728,343,118,357 with Prime Factorization

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

2 x 7 x 31 x 52 x 49 x 59 x 51 = 3327448488

Therefore, the lowest common multiple of 217,728,343,118,357 is 3327448488.

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.

217 x 728 x 343 x 118 x 357 = 2282629662768

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.

217 : 1, 7, 31, 217

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

343 : 1, 7, 49, 343

118 : 1, 2, 59, 118

357 : 1, 3, 7, 17, 21, 51, 119, 357

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 217,728,343,118,357, is 1.

Now, the common factors can be found like this.

217:7x 31

728:2x 2x 2x 7x 13

343:7x 7x 7

118:2x 59

357:3x 7x 17

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 7x 7x 7 = 686

Therefore, the value for common factors is 686.

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 = 2282629662768/(1x686)

LCM = 2282629662768/686

LCM = 3327448488

Thus, we can understand that the LCM of 217,728,343,118,357 is 3327448488.

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

• LCM of 995, 934, 799, 650, 232
• LCM of 657, 501, 979, 116, 148
• LCM of 792, 761, 478, 980, 352
• LCM of 406, 179, 730, 916, 358
• LCM of 881, 819, 873, 428, 318

1. What is the LCM of 217, 728, 343, 118, 357?

Answer: LCM of 217, 728, 343, 118, 357 is 3327448488.

2. How to calculate the LCM of 217, 728, 343, 118, 357?

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 217, 728, 343, 118, 357.

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}.