Given numbers are 720,346,814,489

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

The LCM of 720,346,814,489 is 8263434960.

Find LCM of 720,346,814,489 with Prime Factorization

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

2 x 3 x 120 x 173 x 407 x 163 = 8263434960

Therefore, the lowest common multiple of 720,346,814,489 is 8263434960.

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 346 x 814 x 489 = 99161219520

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

346 : 1, 2, 173, 346

814 : 1, 2, 11, 22, 37, 74, 407, 814

489 : 1, 3, 163, 489

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 720,346,814,489, is 1.

Now, the common factors can be found like this.

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

346:2x 173

814:2x 11x 37

489:3x 163

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 3 = 12

Therefore, the value for common factors is 12.

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 = 99161219520/(1x12)

LCM = 99161219520/12

LCM = 8263434960

Thus, we can understand that the LCM of 720,346,814,489 is 8263434960.

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

• LCM of 139, 437, 815, 320
• LCM of 455, 608, 871, 392
• LCM of 157, 477, 363, 541
• LCM of 224, 319, 284, 550
• LCM of 893, 915, 512, 414

1. What is the LCM of 720, 346, 814, 489?

Answer: LCM of 720, 346, 814, 489 is 8263434960.

2. How to calculate the LCM of 720, 346, 814, 489?

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, 346, 814, 489.

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}.