Given numbers are 944,450,680,269,458

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

The LCM of 944,450,680,269,458 is 222428890800.

Find LCM of 944,450,680,269,458 with Prime Factorization

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

2 x 2 x 2 x 5 x 118 x 45 x 17 x 269 x 229 = 222428890800

Therefore, the lowest common multiple of 944,450,680,269,458 is 222428890800.

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.

944 x 450 x 680 x 269 x 458 = 35588622528000

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.

944 : 1, 2, 4, 8, 16, 59, 118, 236, 472, 944

450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

269 : 1, 269

458 : 1, 2, 229, 458

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 944,450,680,269,458, is 1.

Now, the common factors can be found like this.

944:2x 2x 2x 2x 59

450:2x 3x 3x 5x 5

680:2x 2x 2x 5x 17

269:269

458:2x 229

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 5 = 160

Therefore, the value for common factors is 160.

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 = 35588622528000/(1x160)

LCM = 35588622528000/160

LCM = 222428890800

Thus, we can understand that the LCM of 944,450,680,269,458 is 222428890800.

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

• LCM of 397, 589, 677, 861, 880
• LCM of 529, 143, 796, 356, 147
• LCM of 566, 731, 567, 472, 727
• LCM of 543, 132, 509, 498, 312
• LCM of 679, 855, 335, 459, 648

1. What is the LCM of 944, 450, 680, 269, 458?

Answer: LCM of 944, 450, 680, 269, 458 is 222428890800.

2. How to calculate the LCM of 944, 450, 680, 269, 458?

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 944, 450, 680, 269, 458.

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}.