Given numbers are 312,674,958,632,392

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

The LCM of 312,674,958,632,392 is 194958951096.

Find LCM of 312,674,958,632,392 with Prime Factorization

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

2 x 2 x 2 x 39 x 337 x 479 x 79 x 49 = 194958951096

Therefore, the lowest common multiple of 312,674,958,632,392 is 194958951096.

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.

312 x 674 x 958 x 632 x 392 = 49909491480576

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.

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

674 : 1, 2, 337, 674

958 : 1, 2, 479, 958

632 : 1, 2, 4, 8, 79, 158, 316, 632

392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 312,674,958,632,392, is 2.

Now, the common factors can be found like this.

312:2x 2x 2x 3x 13

674:2x 337

958:2x 479

632:2x 2x 2x 79

392:2x 2x 2x 7x 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 2x 2x 2x 2x 2 = 128

Therefore, the value for common factors is 128.

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 = 49909491480576/(2x128)

LCM = 49909491480576/256

LCM = 194958951096

Thus, we can understand that the LCM of 312,674,958,632,392 is 194958951096.

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

• LCM of 895, 938, 478, 665, 330
• LCM of 777, 873, 159, 506, 457
• LCM of 947, 788, 150, 250, 890
• LCM of 878, 993, 650, 837, 131
• LCM of 712, 400, 317, 586, 587

1. What is the LCM of 312, 674, 958, 632, 392?

Answer: LCM of 312, 674, 958, 632, 392 is 194958951096.

2. How to calculate the LCM of 312, 674, 958, 632, 392?

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 312, 674, 958, 632, 392.

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}.