Given numbers are 720,319,299,240,689

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

The LCM of 720,319,299,240,689 is 3639738960.

Find LCM of 720,319,299,240,689 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 13 x 1 x 319 x 23 x 3 x 53 = 3639738960

Therefore, the lowest common multiple of 720,319,299,240,689 is 3639738960.

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 319 x 299 x 240 x 689 = 11355985555200

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

319 : 1, 11, 29, 319

299 : 1, 13, 23, 299

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

689 : 1, 13, 53, 689

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 720,319,299,240,689, is 1.

Now, the common factors can be found like this.

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

319:11x 29

299:13x 23

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

689:13x 53

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 5x 13 = 3120

Therefore, the value for common factors is 3120.

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 = 11355985555200/(1x3120)

LCM = 11355985555200/3120

LCM = 3639738960

Thus, we can understand that the LCM of 720,319,299,240,689 is 3639738960.

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

• LCM of 917, 120, 691, 365, 499
• LCM of 495, 631, 199, 344, 347
• LCM of 943, 778, 653, 590, 219
• LCM of 741, 130, 936, 320, 364
• LCM of 879, 573, 567, 954, 267

1. What is the LCM of 720, 319, 299, 240, 689?

Answer: LCM of 720, 319, 299, 240, 689 is 3639738960.

2. How to calculate the LCM of 720, 319, 299, 240, 689?

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, 319, 299, 240, 689.

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}.