Given numbers are 494,642,335,749

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

The LCM of 494,642,335,749 is 371856030.

Find LCM of 494,642,335,749 with Prime Factorization

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

2 x 107 x 247 x 3 x 335 x 7 = 371856030

Therefore, the lowest common multiple of 494,642,335,749 is 371856030.

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.

494 x 642 x 335 x 749 = 79577190420

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.

494 : 1, 2, 13, 19, 26, 38, 247, 494

642 : 1, 2, 3, 6, 107, 214, 321, 642

335 : 1, 5, 67, 335

749 : 1, 7, 107, 749

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 494,642,335,749, is 1.

Now, the common factors can be found like this.

494:2x 13x 19

642:2x 3x 107

335:5x 67

749:7x 107

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

2x 107 = 214

Therefore, the value for common factors is 214.

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 = 79577190420/(1x214)

LCM = 79577190420/214

LCM = 371856030

Thus, we can understand that the LCM of 494,642,335,749 is 371856030.

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

• LCM of 701, 772, 941, 458
• LCM of 105, 350, 124, 733
• LCM of 103, 697, 980, 516
• LCM of 722, 951, 114, 380
• LCM of 722, 857, 280, 258

1. What is the LCM of 494, 642, 335, 749?

Answer: LCM of 494, 642, 335, 749 is 371856030.

2. How to calculate the LCM of 494, 642, 335, 749?

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 494, 642, 335, 749.

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}.