Given numbers are 241,900,319,946,484

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

The LCM of 241,900,319,946,484 is 32727390300.

Find LCM of 241,900,319,946,484 with Prime Factorization

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

2 x 2 x 11 x 241 x 225 x 29 x 43 x 11 = 32727390300

Therefore, the lowest common multiple of 241,900,319,946,484 is 32727390300.

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 900 x 319 x 946 x 484 = 31680113810400

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

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

319 : 1, 11, 29, 319

946 : 1, 2, 11, 22, 43, 86, 473, 946

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 241,900,319,946,484, is 1.

Now, the common factors can be found like this.

241:241

900:2x 2x 3x 3x 5x 5

319:11x 29

946:2x 11x 43

484:2x 2x 11x 11

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 11x 11 = 968

Therefore, the value for common factors is 968.

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 = 31680113810400/(1x968)

LCM = 31680113810400/968

LCM = 32727390300

Thus, we can understand that the LCM of 241,900,319,946,484 is 32727390300.

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

• LCM of 495, 832, 851, 301, 118
• LCM of 618, 787, 258, 909, 826
• LCM of 568, 664, 892, 885, 484
• LCM of 673, 833, 213, 997, 183
• LCM of 329, 793, 828, 261, 834

1. What is the LCM of 241, 900, 319, 946, 484?

Answer: LCM of 241, 900, 319, 946, 484 is 32727390300.

2. How to calculate the LCM of 241, 900, 319, 946, 484?

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, 900, 319, 946, 484.

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}.