Given numbers are 332,233,344,724,349

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

The LCM of 332,233,344,724,349 is 420239100104.

Find LCM of 332,233,344,724,349 with Prime Factorization

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

2 x 2 x 83 x 233 x 86 x 181 x 349 = 420239100104

Therefore, the lowest common multiple of 332,233,344,724,349 is 420239100104.

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.

332 x 233 x 344 x 724 x 349 = 6723825601664

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.

332 : 1, 2, 4, 83, 166, 332

233 : 1, 233

344 : 1, 2, 4, 8, 43, 86, 172, 344

724 : 1, 2, 4, 181, 362, 724

349 : 1, 349

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 332,233,344,724,349, is 1.

Now, the common factors can be found like this.

332:2x 2x 83

233:233

344:2x 2x 2x 43

724:2x 2x 181

349:349

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 2 = 16

Therefore, the value for common factors is 16.

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 = 6723825601664/(1x16)

LCM = 6723825601664/16

LCM = 420239100104

Thus, we can understand that the LCM of 332,233,344,724,349 is 420239100104.

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

• LCM of 313, 143, 649, 756, 506
• LCM of 174, 112, 957, 919, 905
• LCM of 355, 156, 496, 575, 516
• LCM of 429, 189, 993, 182, 993
• LCM of 619, 225, 747, 322, 271

1. What is the LCM of 332, 233, 344, 724, 349?

Answer: LCM of 332, 233, 344, 724, 349 is 420239100104.

2. How to calculate the LCM of 332, 233, 344, 724, 349?

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 332, 233, 344, 724, 349.

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}.