Given numbers are 382,259,676,749

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

The LCM of 382,259,676,749 is 3578191708.

Find LCM of 382,259,676,749 with Prime Factorization

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

2 x 7 x 191 x 37 x 338 x 107 = 3578191708

Therefore, the lowest common multiple of 382,259,676,749 is 3578191708.

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.

382 x 259 x 676 x 749 = 50094683912

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.

382 : 1, 2, 191, 382

259 : 1, 7, 37, 259

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

749 : 1, 7, 107, 749

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 382,259,676,749, is 1.

Now, the common factors can be found like this.

382:2x 191

259:7x 37

676:2x 2x 13x 13

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 7 = 14

Therefore, the value for common factors is 14.

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 = 50094683912/(1x14)

LCM = 50094683912/14

LCM = 3578191708

Thus, we can understand that the LCM of 382,259,676,749 is 3578191708.

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

• LCM of 235, 894, 858, 910
• LCM of 873, 515, 298, 429
• LCM of 994, 511, 499, 497
• LCM of 967, 983, 255, 461
• LCM of 942, 474, 273, 153

1. What is the LCM of 382, 259, 676, 749?

Answer: LCM of 382, 259, 676, 749 is 3578191708.

2. How to calculate the LCM of 382, 259, 676, 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 382, 259, 676, 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}.