Given numbers are 985,107,335,675,112

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

The LCM of 985,107,335,675,112 is 106769350800.

Find LCM of 985,107,335,675,112 with Prime Factorization

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

5 x 197 x 107 x 67 x 135 x 112 = 106769350800

Therefore, the lowest common multiple of 985,107,335,675,112 is 106769350800.

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 107 x 335 x 675 x 112 = 2669233770000

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

107 : 1, 107

335 : 1, 5, 67, 335

675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 985,107,335,675,112, is 1.

Now, the common factors can be found like this.

985:5x 197

107:107

335:5x 67

675:3x 3x 3x 5x 5

112:2x 2x 2x 2x 7

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

5x 5 = 25

Therefore, the value for common factors is 25.

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 = 2669233770000/(1x25)

LCM = 2669233770000/25

LCM = 106769350800

Thus, we can understand that the LCM of 985,107,335,675,112 is 106769350800.

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

• LCM of 279, 353, 433, 968, 253
• LCM of 663, 896, 851, 657, 334
• LCM of 669, 130, 692, 136, 158
• LCM of 509, 604, 967, 805, 589
• LCM of 994, 290, 716, 983, 953

1. What is the LCM of 985, 107, 335, 675, 112?

Answer: LCM of 985, 107, 335, 675, 112 is 106769350800.

2. How to calculate the LCM of 985, 107, 335, 675, 112?

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, 107, 335, 675, 112.

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}.