Given numbers are 546,466,464,465

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

The LCM of 546,466,464,465 is 4574759280.

Find LCM of 546,466,464,465 with Prime Factorization

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

2 x 3 x 91 x 233 x 232 x 155 = 4574759280

Therefore, the lowest common multiple of 546,466,464,465 is 4574759280.

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 466 x 464 x 465 = 54897111360

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

466 : 1, 2, 233, 466

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

465 : 1, 3, 5, 15, 31, 93, 155, 465

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,466,464,465, is 1.

Now, the common factors can be found like this.

546:2x 3x 7x 13

466:2x 233

464:2x 2x 2x 2x 29

465:3x 5x 31

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 3 = 12

Therefore, the value for common factors is 12.

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 = 54897111360/(1x12)

LCM = 54897111360/12

LCM = 4574759280

Thus, we can understand that the LCM of 546,466,464,465 is 4574759280.

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

• LCM of 896, 769, 800, 549
• LCM of 699, 798, 959, 351
• LCM of 966, 788, 680, 389
• LCM of 833, 499, 182, 503
• LCM of 434, 320, 435, 258

1. What is the LCM of 546, 466, 464, 465?

Answer: LCM of 546, 466, 464, 465 is 4574759280.

2. How to calculate the LCM of 546, 466, 464, 465?

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, 466, 464, 465.

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}.