Given numbers are 273,402,624,561,221

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

The LCM of 273,402,624,561,221 is 54726672.

Find LCM of 273,402,624,561,221 with Prime Factorization

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

2 x 3 x 13 x 17 x 7 x 67 x 8 x 11 x 1 = 54726672

Therefore, the lowest common multiple of 273,402,624,561,221 is 54726672.

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.

273 x 402 x 624 x 561 x 221 = 8490405347424

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.

273 : 1, 3, 7, 13, 21, 39, 91, 273

402 : 1, 2, 3, 6, 67, 134, 201, 402

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

561 : 1, 3, 11, 17, 33, 51, 187, 561

221 : 1, 13, 17, 221

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 273,402,624,561,221, is 1.

Now, the common factors can be found like this.

273:3x 7x 13

402:2x 3x 67

624:2x 2x 2x 2x 3x 13

561:3x 11x 17

221:13x 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 3x 3x 3x 13x 13x 17 = 155142

Therefore, the value for common factors is 155142.

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 = 8490405347424/(1x155142)

LCM = 8490405347424/155142

LCM = 54726672

Thus, we can understand that the LCM of 273,402,624,561,221 is 54726672.

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

• LCM of 222, 159, 128, 763, 560
• LCM of 213, 806, 260, 496, 615
• LCM of 514, 245, 587, 603, 105
• LCM of 782, 365, 712, 776, 477
• LCM of 276, 460, 699, 175, 372

1. What is the LCM of 273, 402, 624, 561, 221?

Answer: LCM of 273, 402, 624, 561, 221 is 54726672.

2. How to calculate the LCM of 273, 402, 624, 561, 221?

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 273, 402, 624, 561, 221.

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}.