Given numbers are 242,418,308,291,340

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

The LCM of 242,418,308,291,340 is 1592241420.

Find LCM of 242,418,308,291,340 with Prime Factorization

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

2 x 2 x 11 x 11 x 19 x 7 x 291 x 85 = 1592241420

Therefore, the lowest common multiple of 242,418,308,291,340 is 1592241420.

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.

242 x 418 x 308 x 291 x 340 = 3082579389120

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.

242 : 1, 2, 11, 22, 121, 242

418 : 1, 2, 11, 19, 22, 38, 209, 418

308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

291 : 1, 3, 97, 291

340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 242,418,308,291,340, is 1.

Now, the common factors can be found like this.

242:2x 11x 11

418:2x 11x 19

308:2x 2x 7x 11

291:3x 97

340:2x 2x 5x 17

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 2x 11x 11 = 1936

Therefore, the value for common factors is 1936.

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 = 3082579389120/(1x1936)

LCM = 3082579389120/1936

LCM = 1592241420

Thus, we can understand that the LCM of 242,418,308,291,340 is 1592241420.

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

• LCM of 266, 492, 139, 964, 469
• LCM of 990, 292, 255, 460, 325
• LCM of 112, 297, 454, 831, 322
• LCM of 945, 245, 421, 883, 116
• LCM of 597, 175, 914, 301, 539

1. What is the LCM of 242, 418, 308, 291, 340?

Answer: LCM of 242, 418, 308, 291, 340 is 1592241420.

2. How to calculate the LCM of 242, 418, 308, 291, 340?

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 242, 418, 308, 291, 340.

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}.