Given numbers are 849,626,720,378

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

The LCM of 849,626,720,378 is 1339314480.

Find LCM of 849,626,720,378 with Prime Factorization

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

2 x 3 x 3 x 283 x 313 x 40 x 21 = 1339314480

Therefore, the lowest common multiple of 849,626,720,378 is 1339314480.

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.

849 x 626 x 720 x 378 = 144645963840

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.

849 : 1, 3, 283, 849

626 : 1, 2, 313, 626

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

378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 849,626,720,378, is 1.

Now, the common factors can be found like this.

849:3x 283

626:2x 313

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

378:2x 3x 3x 3x 7

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 3x 3x 3 = 108

Therefore, the value for common factors is 108.

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 = 144645963840/(1x108)

LCM = 144645963840/108

LCM = 1339314480

Thus, we can understand that the LCM of 849,626,720,378 is 1339314480.

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

• LCM of 970, 786, 484, 294
• LCM of 863, 595, 687, 642
• LCM of 341, 908, 855, 262
• LCM of 703, 422, 576, 717
• LCM of 584, 861, 280, 907

1. What is the LCM of 849, 626, 720, 378?

Answer: LCM of 849, 626, 720, 378 is 1339314480.

2. How to calculate the LCM of 849, 626, 720, 378?

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 849, 626, 720, 378.

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}.