Given numbers are 144,484,478,565,752

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

The LCM of 144,484,478,565,752 is 110583942480.

Find LCM of 144,484,478,565,752 with Prime Factorization

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

2 x 2 x 2 x 2 x 9 x 121 x 239 x 565 x 47 = 110583942480

Therefore, the lowest common multiple of 144,484,478,565,752 is 110583942480.

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.

144 x 484 x 478 x 565 x 752 = 14154744637440

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.

144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

484 : 1, 2, 4, 11, 22, 44, 121, 242, 484

478 : 1, 2, 239, 478

565 : 1, 5, 113, 565

752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 144,484,478,565,752, is 1.

Now, the common factors can be found like this.

144:2x 2x 2x 2x 3x 3

484:2x 2x 11x 11

478:2x 239

565:5x 113

752:2x 2x 2x 2x 47

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 2x 2 = 128

Therefore, the value for common factors is 128.

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 = 14154744637440/(1x128)

LCM = 14154744637440/128

LCM = 110583942480

Thus, we can understand that the LCM of 144,484,478,565,752 is 110583942480.

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

• LCM of 437, 872, 868, 598, 342
• LCM of 585, 837, 595, 944, 508
• LCM of 798, 454, 360, 587, 591
• LCM of 367, 125, 369, 480, 194
• LCM of 646, 877, 253, 200, 303

1. What is the LCM of 144, 484, 478, 565, 752?

Answer: LCM of 144, 484, 478, 565, 752 is 110583942480.

2. How to calculate the LCM of 144, 484, 478, 565, 752?

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 144, 484, 478, 565, 752.

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}.