Given numbers are 217,581,291,546

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

The LCM of 217,581,291,546 is 136271226.

Find LCM of 217,581,291,546 with Prime Factorization

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

3 x 7 x 31 x 83 x 97 x 26 = 136271226

Therefore, the lowest common multiple of 217,581,291,546 is 136271226.

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 581 x 291 x 546 = 20031870222

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

581 : 1, 7, 83, 581

291 : 1, 3, 97, 291

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 217,581,291,546, is 1.

Now, the common factors can be found like this.

217:7x 31

581:7x 83

291:3x 97

546:2x 3x 7x 13

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

3x 7x 7 = 147

Therefore, the value for common factors is 147.

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 = 20031870222/(1x147)

LCM = 20031870222/147

LCM = 136271226

Thus, we can understand that the LCM of 217,581,291,546 is 136271226.

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

• LCM of 719, 509, 935, 523
• LCM of 769, 293, 238, 661
• LCM of 263, 735, 696, 431
• LCM of 447, 928, 289, 126
• LCM of 338, 212, 978, 101

1. What is the LCM of 217, 581, 291, 546?

Answer: LCM of 217, 581, 291, 546 is 136271226.

2. How to calculate the LCM of 217, 581, 291, 546?

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, 581, 291, 546.

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}.