Given numbers are 363,321,674

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

The LCM of 363,321,674 is 26178834.

Find LCM of 363,321,674 with Prime Factorization

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

3 x 121 x 107 x 674 = 26178834

Therefore, the lowest common multiple of 363,321,674 is 26178834.

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.

363 x 321 x 674 = 78536502

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.

363 : 1, 3, 11, 33, 121, 363

321 : 1, 3, 107, 321

674 : 1, 2, 337, 674

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 363,321,674, is 1.

Now, the common factors can be found like this.

363:3x 11x 11

321:3x 107

674:2x 337

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

3 = 3

Therefore, the value for common factors is 3.

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 = 78536502/(1x3)

LCM = 78536502/3

LCM = 26178834

Thus, we can understand that the LCM of 363,321,674 is 26178834.

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

• LCM of 104, 459, 732
• LCM of 676, 781, 696
• LCM of 438, 531, 907
• LCM of 690, 601, 709
• LCM of 622, 178, 244

1. What is the LCM of 363, 321, 674?

Answer: LCM of 363, 321, 674 is 26178834.

2. How to calculate the LCM of 363, 321, 674?

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 363, 321, 674.

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}.