Given numbers are 720,264,138,439

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

The LCM of 720,264,138,439 is 79968240.

Find LCM of 720,264,138,439 with Prime Factorization

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

2 x 2 x 2 x 3 x 30 x 11 x 23 x 439 = 79968240

Therefore, the lowest common multiple of 720,264,138,439 is 79968240.

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.

720 x 264 x 138 x 439 = 11515426560

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.

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

264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

138 : 1, 2, 3, 6, 23, 46, 69, 138

439 : 1, 439

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 720,264,138,439, is 1.

Now, the common factors can be found like this.

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

264:2x 2x 2x 3x 11

138:2x 3x 23

439:439

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 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 11515426560/(1x144)

LCM = 11515426560/144

LCM = 79968240

Thus, we can understand that the LCM of 720,264,138,439 is 79968240.

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

• LCM of 429, 826, 774, 321
• LCM of 837, 623, 763, 175
• LCM of 341, 989, 261, 613
• LCM of 600, 797, 795, 923
• LCM of 916, 398, 321, 525

1. What is the LCM of 720, 264, 138, 439?

Answer: LCM of 720, 264, 138, 439 is 79968240.

2. How to calculate the LCM of 720, 264, 138, 439?

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 720, 264, 138, 439.

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}.