Given numbers are 540,544,646,248

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

The LCM of 540,544,646,248 is 43256160.

Find LCM of 540,544,646,248 with Prime Factorization

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

2 x 2 x 2 x 17 x 135 x 4 x 19 x 31 = 43256160

Therefore, the lowest common multiple of 540,544,646,248 is 43256160.

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.

540 x 544 x 646 x 248 = 47062702080

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.

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

646 : 1, 2, 17, 19, 34, 38, 323, 646

248 : 1, 2, 4, 8, 31, 62, 124, 248

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 540,544,646,248, is 2.

Now, the common factors can be found like this.

540:2x 2x 3x 3x 3x 5

544:2x 2x 2x 2x 2x 17

646:2x 17x 19

248:2x 2x 2x 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 2x 2x 2x 17 = 544

Therefore, the value for common factors is 544.

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 = 47062702080/(2x544)

LCM = 47062702080/1088

LCM = 43256160

Thus, we can understand that the LCM of 540,544,646,248 is 43256160.

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

• LCM of 461, 654, 249, 533
• LCM of 505, 269, 345, 775
• LCM of 898, 452, 331, 100
• LCM of 557, 992, 966, 913
• LCM of 401, 229, 188, 692

1. What is the LCM of 540, 544, 646, 248?

Answer: LCM of 540, 544, 646, 248 is 43256160.

2. How to calculate the LCM of 540, 544, 646, 248?

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 540, 544, 646, 248.

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}.