Given numbers are 321,214,119,650

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

The LCM of 321,214,119,650 is 24829350.

Find LCM of 321,214,119,650 with Prime Factorization

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

2 x 107 x 3 x 1 x 119 x 325 = 24829350

Therefore, the lowest common multiple of 321,214,119,650 is 24829350.

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.

321 x 214 x 119 x 650 = 5313480900

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.

321 : 1, 3, 107, 321

214 : 1, 2, 107, 214

119 : 1, 7, 17, 119

650 : 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 321,214,119,650, is 1.

Now, the common factors can be found like this.

321:3x 107

214:2x 107

119:7x 17

650:2x 5x 5x 13

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 = 5313480900/(1x214)

LCM = 5313480900/214

LCM = 24829350

Thus, we can understand that the LCM of 321,214,119,650 is 24829350.

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

• LCM of 133, 795, 863, 166
• LCM of 650, 654, 609, 497
• LCM of 544, 740, 382, 323
• LCM of 993, 616, 954, 941
• LCM of 484, 565, 117, 385

1. What is the LCM of 321, 214, 119, 650?

Answer: LCM of 321, 214, 119, 650 is 24829350.

2. How to calculate the LCM of 321, 214, 119, 650?

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 321, 214, 119, 650.

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}.