Given numbers are 984,177,782,354,442

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

The LCM of 984,177,782,354,442 is 295098648.

Find LCM of 984,177,782,354,442 with Prime Factorization

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

2 x 3 x 17 x 59 x 164 x 1 x 23 x 1 x 13 = 295098648

Therefore, the lowest common multiple of 984,177,782,354,442 is 295098648.

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.

984 x 177 x 782 x 354 x 442 = 21310843963968

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.

984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

177 : 1, 3, 59, 177

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

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

442 : 1, 2, 13, 17, 26, 34, 221, 442

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 984,177,782,354,442, is 1.

Now, the common factors can be found like this.

984:2x 2x 2x 3x 41

177:3x 59

782:2x 17x 23

354:2x 3x 59

442:2x 13x 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 3x 3x 17x 59 = 72216

Therefore, the value for common factors is 72216.

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 = 21310843963968/(1x72216)

LCM = 21310843963968/72216

LCM = 295098648

Thus, we can understand that the LCM of 984,177,782,354,442 is 295098648.

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

• LCM of 305, 403, 987, 306, 896
• LCM of 770, 401, 709, 837, 958
• LCM of 210, 470, 993, 714, 501
• LCM of 217, 803, 982, 999, 137
• LCM of 958, 856, 169, 167, 163

1. What is the LCM of 984, 177, 782, 354, 442?

Answer: LCM of 984, 177, 782, 354, 442 is 295098648.

2. How to calculate the LCM of 984, 177, 782, 354, 442?

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 984, 177, 782, 354, 442.

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}.