Given numbers are 273,423,421,564,760

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

The LCM of 273,423,421,564,760 is 12316220280.

Find LCM of 273,423,421,564,760 with Prime Factorization

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

2 x 2 x 3 x 47 x 91 x 1 x 421 x 3 x 190 = 12316220280

Therefore, the lowest common multiple of 273,423,421,564,760 is 12316220280.

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 423 x 421 x 564 x 760 = 20839044713760

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

423 : 1, 3, 9, 47, 141, 423

421 : 1, 421

564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 273,423,421,564,760, is 1.

Now, the common factors can be found like this.

273:3x 7x 13

423:3x 3x 47

421:421

564:2x 2x 3x 47

760:2x 2x 2x 5x 19

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 47 = 1692

Therefore, the value for common factors is 1692.

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 = 20839044713760/(1x1692)

LCM = 20839044713760/1692

LCM = 12316220280

Thus, we can understand that the LCM of 273,423,421,564,760 is 12316220280.

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

• LCM of 582, 455, 557, 729, 813
• LCM of 493, 866, 422, 505, 199
• LCM of 862, 828, 175, 162, 311
• LCM of 149, 587, 983, 926, 978
• LCM of 152, 962, 917, 526, 617

1. What is the LCM of 273, 423, 421, 564, 760?

Answer: LCM of 273, 423, 421, 564, 760 is 12316220280.

2. How to calculate the LCM of 273, 423, 421, 564, 760?

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, 423, 421, 564, 760.

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}.