Given numbers are 272,968,628,540

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

The LCM of 272,968,628,540 is 697569840.

Find LCM of 272,968,628,540 with Prime Factorization

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

2 x 2 x 2 x 34 x 121 x 157 x 135 = 697569840

Therefore, the lowest common multiple of 272,968,628,540 is 697569840.

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.

272 x 968 x 628 x 540 = 89288939520

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.

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

968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

628 : 1, 2, 4, 157, 314, 628

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

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 272,968,628,540, is 4.

Now, the common factors can be found like this.

272:2x 2x 2x 2x 17

968:2x 2x 2x 11x 11

628:2x 2x 157

540:2x 2x 3x 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 2x 2x 2 = 32

Therefore, the value for common factors is 32.

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 = 89288939520/(4x32)

LCM = 89288939520/128

LCM = 697569840

Thus, we can understand that the LCM of 272,968,628,540 is 697569840.

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

• LCM of 916, 355, 875, 295
• LCM of 872, 500, 395, 753
• LCM of 137, 975, 619, 489
• LCM of 589, 646, 926, 359
• LCM of 226, 388, 527, 682

1. What is the LCM of 272, 968, 628, 540?

Answer: LCM of 272, 968, 628, 540 is 697569840.

2. How to calculate the LCM of 272, 968, 628, 540?

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 272, 968, 628, 540.

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}.