Given numbers are 484,195,241,426,354

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

The LCM of 484,195,241,426,354 is 95281234620.

Find LCM of 484,195,241,426,354 with Prime Factorization

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

2 x 3 x 242 x 65 x 241 x 71 x 59 = 95281234620

Therefore, the lowest common multiple of 484,195,241,426,354 is 95281234620.

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.

484 x 195 x 241 x 426 x 354 = 3430124446320

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.

484 : 1, 2, 4, 11, 22, 44, 121, 242, 484

195 : 1, 3, 5, 13, 15, 39, 65, 195

241 : 1, 241

426 : 1, 2, 3, 6, 71, 142, 213, 426

354 : 1, 2, 3, 6, 59, 118, 177, 354

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 484,195,241,426,354, is 1.

Now, the common factors can be found like this.

484:2x 2x 11x 11

195:3x 5x 13

241:241

426:2x 3x 71

354:2x 3x 59

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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 3430124446320/(1x36)

LCM = 3430124446320/36

LCM = 95281234620

Thus, we can understand that the LCM of 484,195,241,426,354 is 95281234620.

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

• LCM of 689, 257, 248, 465, 279
• LCM of 202, 142, 832, 594, 450
• LCM of 836, 233, 668, 906, 515
• LCM of 278, 989, 807, 281, 205
• LCM of 829, 278, 638, 862, 991

1. What is the LCM of 484, 195, 241, 426, 354?

Answer: LCM of 484, 195, 241, 426, 354 is 95281234620.

2. How to calculate the LCM of 484, 195, 241, 426, 354?

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 484, 195, 241, 426, 354.

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}.