Given numbers are 269,720,636,440

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

The LCM of 269,720,636,440 is 112915440.

Find LCM of 269,720,636,440 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 269 x 6 x 53 x 11 = 112915440

Therefore, the lowest common multiple of 269,720,636,440 is 112915440.

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.

269 x 720 x 636 x 440 = 54199411200

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.

269 : 1, 269

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

636 : 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 269,720,636,440, is 1.

Now, the common factors can be found like this.

269:269

720:2x 2x 2x 2x 3x 3x 5

636:2x 2x 3x 53

440:2x 2x 2x 5x 11

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 3x 5 = 480

Therefore, the value for common factors is 480.

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 = 54199411200/(1x480)

LCM = 54199411200/480

LCM = 112915440

Thus, we can understand that the LCM of 269,720,636,440 is 112915440.

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

• LCM of 562, 813, 705, 934
• LCM of 139, 791, 947, 458
• LCM of 863, 787, 175, 516
• LCM of 463, 139, 958, 709
• LCM of 550, 520, 903, 978

1. What is the LCM of 269, 720, 636, 440?

Answer: LCM of 269, 720, 636, 440 is 112915440.

2. How to calculate the LCM of 269, 720, 636, 440?

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 269, 720, 636, 440.

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}.