Given numbers are 391,782,121,958,900

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

The LCM of 391,782,121,958,900 is 20395772100.

Find LCM of 391,782,121,958,900 with Prime Factorization

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

2 x 17 x 23 x 1 x 1 x 121 x 479 x 450 = 20395772100

Therefore, the lowest common multiple of 391,782,121,958,900 is 20395772100.

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.

391 x 782 x 121 x 958 x 900 = 31898987564400

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.

391 : 1, 17, 23, 391

782 : 1, 2, 17, 23, 34, 46, 391, 782

121 : 1, 11, 121

958 : 1, 2, 479, 958

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 391,782,121,958,900, is 1.

Now, the common factors can be found like this.

391:17x 23

782:2x 17x 23

121:11x 11

958:2x 479

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

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 17x 23 = 1564

Therefore, the value for common factors is 1564.

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 = 31898987564400/(1x1564)

LCM = 31898987564400/1564

LCM = 20395772100

Thus, we can understand that the LCM of 391,782,121,958,900 is 20395772100.

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

• LCM of 458, 748, 617, 721, 313
• LCM of 218, 513, 666, 520, 461
• LCM of 338, 248, 599, 373, 230
• LCM of 970, 547, 530, 708, 172
• LCM of 931, 146, 370, 140, 111

1. What is the LCM of 391, 782, 121, 958, 900?

Answer: LCM of 391, 782, 121, 958, 900 is 20395772100.

2. How to calculate the LCM of 391, 782, 121, 958, 900?

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 391, 782, 121, 958, 900.

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}.