Given numbers are 985,196,176,198,972

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

The LCM of 985,196,176,198,972 is 2064197520.

Find LCM of 985,196,176,198,972 with Prime Factorization

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

2 x 2 x 3 x 3 x 11 x 985 x 49 x 4 x 1 x 27 = 2064197520

Therefore, the lowest common multiple of 985,196,176,198,972 is 2064197520.

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.

985 x 196 x 176 x 198 x 972 = 6539377743360

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.

985 : 1, 5, 197, 985

196 : 1, 2, 4, 7, 14, 28, 49, 98, 196

176 : 1, 2, 4, 8, 11, 16, 22, 44, 88, 176

198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 985,196,176,198,972, is 1.

Now, the common factors can be found like this.

985:5x 197

196:2x 2x 7x 7

176:2x 2x 2x 2x 11

198:2x 3x 3x 11

972:2x 2x 3x 3x 3x 3x 3

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 2x 2x 3x 3x 11 = 3168

Therefore, the value for common factors is 3168.

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 = 6539377743360/(1x3168)

LCM = 6539377743360/3168

LCM = 2064197520

Thus, we can understand that the LCM of 985,196,176,198,972 is 2064197520.

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

• LCM of 243, 817, 861, 656, 936
• LCM of 225, 894, 449, 550, 778
• LCM of 756, 544, 967, 440, 184
• LCM of 996, 412, 360, 773, 319
• LCM of 706, 949, 988, 445, 272

1. What is the LCM of 985, 196, 176, 198, 972?

Answer: LCM of 985, 196, 176, 198, 972 is 2064197520.

2. How to calculate the LCM of 985, 196, 176, 198, 972?

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 985, 196, 176, 198, 972.

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}.