Given numbers are 217,546,243,265,147

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

The LCM of 217,546,243,265,147 is 2543216130.

Find LCM of 217,546,243,265,147 with Prime Factorization

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

3 x 7 x 31 x 26 x 81 x 265 x 7 = 2543216130

Therefore, the lowest common multiple of 217,546,243,265,147 is 2543216130.

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 546 x 243 x 265 x 147 = 1121558313330

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

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

243 : 1, 3, 9, 27, 81, 243

265 : 1, 5, 53, 265

147 : 1, 3, 7, 21, 49, 147

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 217,546,243,265,147, is 1.

Now, the common factors can be found like this.

217:7x 31

546:2x 3x 7x 13

243:3x 3x 3x 3x 3

265:5x 53

147:3x 7x 7

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

3x 3x 7x 7 = 441

Therefore, the value for common factors is 441.

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 = 1121558313330/(1x441)

LCM = 1121558313330/441

LCM = 2543216130

Thus, we can understand that the LCM of 217,546,243,265,147 is 2543216130.

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

• LCM of 942, 949, 235, 443, 343
• LCM of 595, 182, 662, 756, 615
• LCM of 511, 639, 298, 385, 956
• LCM of 142, 990, 569, 512, 697
• LCM of 959, 229, 325, 563, 196

1. What is the LCM of 217, 546, 243, 265, 147?

Answer: LCM of 217, 546, 243, 265, 147 is 2543216130.

2. How to calculate the LCM of 217, 546, 243, 265, 147?

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, 546, 243, 265, 147.

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}.