Given numbers are 546,473,134,584,585

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

The LCM of 546,473,134,584,585 is 75788392680.

Find LCM of 546,473,134,584,585 with Prime Factorization

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

2 x 3 x 13 x 7 x 473 x 67 x 292 x 15 = 75788392680

Therefore, the lowest common multiple of 546,473,134,584,585 is 75788392680.

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 473 x 134 x 584 x 585 = 11822989258080

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

473 : 1, 11, 43, 473

134 : 1, 2, 67, 134

584 : 1, 2, 4, 8, 73, 146, 292, 584

585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,473,134,584,585, is 1.

Now, the common factors can be found like this.

546:2x 3x 7x 13

473:11x 43

134:2x 67

584:2x 2x 2x 73

585:3x 3x 5x 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 13 = 156

Therefore, the value for common factors is 156.

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 = 11822989258080/(1x156)

LCM = 11822989258080/156

LCM = 75788392680

Thus, we can understand that the LCM of 546,473,134,584,585 is 75788392680.

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

• LCM of 513, 364, 770, 841, 224
• LCM of 526, 548, 301, 275, 716
• LCM of 660, 470, 843, 395, 899
• LCM of 827, 767, 778, 589, 748
• LCM of 546, 857, 547, 572, 632

1. What is the LCM of 546, 473, 134, 584, 585?

Answer: LCM of 546, 473, 134, 584, 585 is 75788392680.

2. How to calculate the LCM of 546, 473, 134, 584, 585?

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, 473, 134, 584, 585.

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}.