Given numbers are 144,251,553,368

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

The LCM of 144,251,553,368 is 459715536.

Find LCM of 144,251,553,368 with Prime Factorization

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

2 x 2 x 2 x 2 x 9 x 251 x 553 x 23 = 459715536

Therefore, the lowest common multiple of 144,251,553,368 is 459715536.

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 251 x 553 x 368 = 7355448576

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

251 : 1, 251

553 : 1, 7, 79, 553

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 144,251,553,368, is 1.

Now, the common factors can be found like this.

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

251:251

553:7x 79

368:2x 2x 2x 2x 23

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 2 = 16

Therefore, the value for common factors is 16.

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 = 7355448576/(1x16)

LCM = 7355448576/16

LCM = 459715536

Thus, we can understand that the LCM of 144,251,553,368 is 459715536.

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

• LCM of 200, 963, 940, 632
• LCM of 484, 147, 945, 911
• LCM of 436, 685, 418, 661
• LCM of 208, 701, 169, 875
• LCM of 697, 615, 614, 460

1. What is the LCM of 144, 251, 553, 368?

Answer: LCM of 144, 251, 553, 368 is 459715536.

2. How to calculate the LCM of 144, 251, 553, 368?

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, 251, 553, 368.

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}.