Given numbers are 825,440,970,206,994

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

The LCM of 825,440,970,206,994 is 32772478200.

Find LCM of 825,440,970,206,994 with Prime Factorization

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

2 x 5 x 11 x 15 x 4 x 97 x 103 x 497 = 32772478200

Therefore, the lowest common multiple of 825,440,970,206,994 is 32772478200.

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.

825 x 440 x 970 x 206 x 994 = 72099452040000

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.

825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

970 : 1, 2, 5, 10, 97, 194, 485, 970

206 : 1, 2, 103, 206

994 : 1, 2, 7, 14, 71, 142, 497, 994

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 825,440,970,206,994, is 1.

Now, the common factors can be found like this.

825:3x 5x 5x 11

440:2x 2x 2x 5x 11

970:2x 5x 97

206:2x 103

994:2x 7x 71

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 5x 5x 11 = 2200

Therefore, the value for common factors is 2200.

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 = 72099452040000/(1x2200)

LCM = 72099452040000/2200

LCM = 32772478200

Thus, we can understand that the LCM of 825,440,970,206,994 is 32772478200.

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

• LCM of 161, 947, 674, 465, 898
• LCM of 382, 298, 249, 670, 466
• LCM of 683, 638, 510, 946, 171
• LCM of 260, 498, 777, 803, 883
• LCM of 384, 704, 215, 449, 622

1. What is the LCM of 825, 440, 970, 206, 994?

Answer: LCM of 825, 440, 970, 206, 994 is 32772478200.

2. How to calculate the LCM of 825, 440, 970, 206, 994?

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 825, 440, 970, 206, 994.

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}.