Given numbers are 293,241,349,606,586

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

The LCM of 293,241,349,606,586 is 14934225822.

Find LCM of 293,241,349,606,586 with Prime Factorization

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

2 x 293 x 1 x 241 x 349 x 303 x 1 = 14934225822

Therefore, the lowest common multiple of 293,241,349,606,586 is 14934225822.

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.

293 x 241 x 349 x 606 x 586 = 8751456331692

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.

293 : 1, 293

241 : 1, 241

349 : 1, 349

606 : 1, 2, 3, 6, 101, 202, 303, 606

586 : 1, 2, 293, 586

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 293,241,349,606,586, is 1.

Now, the common factors can be found like this.

293:293

241:241

349:349

606:2x 3x 101

586:2x 293

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

2x 293 = 586

Therefore, the value for common factors is 586.

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 = 8751456331692/(1x586)

LCM = 8751456331692/586

LCM = 14934225822

Thus, we can understand that the LCM of 293,241,349,606,586 is 14934225822.

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

• LCM of 171, 116, 794, 194, 537
• LCM of 369, 871, 720, 176, 836
• LCM of 576, 620, 670, 138, 843
• LCM of 671, 129, 266, 812, 936
• LCM of 502, 519, 526, 608, 986

1. What is the LCM of 293, 241, 349, 606, 586?

Answer: LCM of 293, 241, 349, 606, 586 is 14934225822.

2. How to calculate the LCM of 293, 241, 349, 606, 586?

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 293, 241, 349, 606, 586.

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}.