Given numbers are 241,260,586,470,922

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

The LCM of 241,260,586,470,922 is 397792686460.

Find LCM of 241,260,586,470,922 with Prime Factorization

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

2 x 5 x 241 x 26 x 293 x 47 x 461 = 397792686460

Therefore, the lowest common multiple of 241,260,586,470,922 is 397792686460.

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.

241 x 260 x 586 x 470 x 922 = 15911707458400

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.

241 : 1, 241

260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

586 : 1, 2, 293, 586

470 : 1, 2, 5, 10, 47, 94, 235, 470

922 : 1, 2, 461, 922

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 241,260,586,470,922, is 1.

Now, the common factors can be found like this.

241:241

260:2x 2x 5x 13

586:2x 293

470:2x 5x 47

922:2x 461

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 5 = 40

Therefore, the value for common factors is 40.

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 = 15911707458400/(1x40)

LCM = 15911707458400/40

LCM = 397792686460

Thus, we can understand that the LCM of 241,260,586,470,922 is 397792686460.

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

• LCM of 267, 925, 805, 916, 591
• LCM of 536, 240, 368, 114, 971
• LCM of 870, 439, 422, 105, 534
• LCM of 919, 503, 969, 680, 751
• LCM of 447, 247, 962, 468, 143

1. What is the LCM of 241, 260, 586, 470, 922?

Answer: LCM of 241, 260, 586, 470, 922 is 397792686460.

2. How to calculate the LCM of 241, 260, 586, 470, 922?

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 241, 260, 586, 470, 922.

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}.