Given numbers are 834,245,432,240

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

The LCM of 834,245,432,240 is 14711760.

Find LCM of 834,245,432,240 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 5 x 139 x 49 x 9 x 1 = 14711760

Therefore, the lowest common multiple of 834,245,432,240 is 14711760.

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.

834 x 245 x 432 x 240 = 21184934400

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.

834 : 1, 2, 3, 6, 139, 278, 417, 834

245 : 1, 5, 7, 35, 49, 245

432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 834,245,432,240, is 1.

Now, the common factors can be found like this.

834:2x 3x 139

245:5x 7x 7

432:2x 2x 2x 2x 3x 3x 3

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

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 3x 5 = 1440

Therefore, the value for common factors is 1440.

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 = 21184934400/(1x1440)

LCM = 21184934400/1440

LCM = 14711760

Thus, we can understand that the LCM of 834,245,432,240 is 14711760.

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

• LCM of 601, 318, 309, 316
• LCM of 182, 395, 573, 786
• LCM of 318, 809, 497, 300
• LCM of 260, 216, 389, 631
• LCM of 570, 533, 740, 148

1. What is the LCM of 834, 245, 432, 240?

Answer: LCM of 834, 245, 432, 240 is 14711760.

2. How to calculate the LCM of 834, 245, 432, 240?

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 834, 245, 432, 240.

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}.