Given numbers are 144,203,451,240,716

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

The LCM of 144,203,451,240,716 is 11799350640.

Find LCM of 144,203,451,240,716 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 3 x 203 x 451 x 5 x 179 = 11799350640

Therefore, the lowest common multiple of 144,203,451,240,716 is 11799350640.

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 203 x 451 x 240 x 716 = 2265475322880

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

203 : 1, 7, 29, 203

451 : 1, 11, 41, 451

240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

716 : 1, 2, 4, 179, 358, 716

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 144,203,451,240,716, is 1.

Now, the common factors can be found like this.

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

203:7x 29

451:11x 41

240:2x 2x 2x 2x 3x 5

716:2x 2x 179

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 3 = 192

Therefore, the value for common factors is 192.

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 = 2265475322880/(1x192)

LCM = 2265475322880/192

LCM = 11799350640

Thus, we can understand that the LCM of 144,203,451,240,716 is 11799350640.

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

• LCM of 391, 367, 141, 101, 445
• LCM of 657, 223, 736, 377, 839
• LCM of 925, 492, 543, 307, 203
• LCM of 267, 283, 633, 354, 941
• LCM of 755, 270, 939, 255, 663

1. What is the LCM of 144, 203, 451, 240, 716?

Answer: LCM of 144, 203, 451, 240, 716 is 11799350640.

2. How to calculate the LCM of 144, 203, 451, 240, 716?

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, 203, 451, 240, 716.

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}.