Given numbers are 221,171,290,504,546

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

The LCM of 221,171,290,504,546 is 306862920.

Find LCM of 221,171,290,504,546 with Prime Factorization

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

2 x 3 x 3 x 7 x 13 x 17 x 19 x 145 x 4 x 1 = 306862920

Therefore, the lowest common multiple of 221,171,290,504,546 is 306862920.

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.

221 x 171 x 290 x 504 x 546 = 3015848777760

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.

221 : 1, 13, 17, 221

171 : 1, 3, 9, 19, 57, 171

290 : 1, 2, 5, 10, 29, 58, 145, 290

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

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 221,171,290,504,546, is 1.

Now, the common factors can be found like this.

221:13x 17

171:3x 3x 19

290:2x 5x 29

504:2x 2x 2x 3x 3x 7

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.

2x 2x 3x 3x 3x 7x 13 = 9828

Therefore, the value for common factors is 9828.

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 = 3015848777760/(1x9828)

LCM = 3015848777760/9828

LCM = 306862920

Thus, we can understand that the LCM of 221,171,290,504,546 is 306862920.

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

• LCM of 988, 832, 484, 113, 957
• LCM of 341, 249, 318, 329, 366
• LCM of 116, 877, 977, 904, 342
• LCM of 374, 491, 704, 943, 910
• LCM of 578, 267, 340, 414, 728

1. What is the LCM of 221, 171, 290, 504, 546?

Answer: LCM of 221, 171, 290, 504, 546 is 306862920.

2. How to calculate the LCM of 221, 171, 290, 504, 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 221, 171, 290, 504, 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}.