Given numbers are 546,741,182,720

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

The LCM of 546,741,182,720 is 1244880.

Find LCM of 546,741,182,720 with Prime Factorization

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

2 x 3 x 7 x 13 x 1 x 19 x 1 x 120 = 1244880

Therefore, the lowest common multiple of 546,741,182,720 is 1244880.

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 741 x 182 x 720 = 53016949440

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

741 : 1, 3, 13, 19, 39, 57, 247, 741

182 : 1, 2, 7, 13, 14, 26, 91, 182

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,741,182,720, is 1.

Now, the common factors can be found like this.

546:2x 3x 7x 13

741:3x 13x 19

182:2x 7x 13

720:2x 2x 2x 2x 3x 3x 5

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 7x 13x 13 = 42588

Therefore, the value for common factors is 42588.

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 = 53016949440/(1x42588)

LCM = 53016949440/42588

LCM = 1244880

Thus, we can understand that the LCM of 546,741,182,720 is 1244880.

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

• LCM of 872, 605, 158, 801
• LCM of 184, 516, 921, 137
• LCM of 733, 661, 749, 111
• LCM of 832, 490, 389, 304
• LCM of 937, 223, 383, 470

1. What is the LCM of 546, 741, 182, 720?

Answer: LCM of 546, 741, 182, 720 is 1244880.

2. How to calculate the LCM of 546, 741, 182, 720?

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, 741, 182, 720.

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}.