Given numbers are 720,386,319,574,607

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

The LCM of 720,386,319,574,607 is 7722378362160.

Find LCM of 720,386,319,574,607 with Prime Factorization

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

2 x 360 x 193 x 319 x 287 x 607 = 7722378362160

Therefore, the lowest common multiple of 720,386,319,574,607 is 7722378362160.

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 386 x 319 x 574 x 607 = 30889513448640

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

386 : 1, 2, 193, 386

319 : 1, 11, 29, 319

574 : 1, 2, 7, 14, 41, 82, 287, 574

607 : 1, 607

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 720,386,319,574,607, is 1.

Now, the common factors can be found like this.

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

386:2x 193

319:11x 29

574:2x 7x 41

607:607

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 30889513448640/(1x4)

LCM = 30889513448640/4

LCM = 7722378362160

Thus, we can understand that the LCM of 720,386,319,574,607 is 7722378362160.

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

• LCM of 538, 783, 752, 340, 918
• LCM of 154, 461, 528, 364, 703
• LCM of 306, 195, 143, 637, 738
• LCM of 971, 539, 246, 131, 323
• LCM of 452, 516, 635, 410, 715

1. What is the LCM of 720, 386, 319, 574, 607?

Answer: LCM of 720, 386, 319, 574, 607 is 7722378362160.

2. How to calculate the LCM of 720, 386, 319, 574, 607?

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, 386, 319, 574, 607.

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}.