Given numbers are 546,460,578,614

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

The LCM of 546,460,578,614 is 11141834340.

Find LCM of 546,460,578,614 with Prime Factorization

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

2 x 273 x 230 x 289 x 307 = 11141834340

Therefore, the lowest common multiple of 546,460,578,614 is 11141834340.

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.

546 x 460 x 578 x 614 = 89134674720

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.

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

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

578 : 1, 2, 17, 34, 289, 578

614 : 1, 2, 307, 614

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,460,578,614, is 2.

Now, the common factors can be found like this.

546:2x 3x 7x 13

460:2x 2x 5x 23

578:2x 17x 17

614:2x 307

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 89134674720/(2x4)

LCM = 89134674720/8

LCM = 11141834340

Thus, we can understand that the LCM of 546,460,578,614 is 11141834340.

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

• LCM of 784, 623, 966, 147
• LCM of 214, 501, 536, 915
• LCM of 544, 947, 177, 488
• LCM of 228, 592, 929, 281
• LCM of 802, 538, 835, 353

1. What is the LCM of 546, 460, 578, 614?

Answer: LCM of 546, 460, 578, 614 is 11141834340.

2. How to calculate the LCM of 546, 460, 578, 614?

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 546, 460, 578, 614.

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}.