Given numbers are 105,85,751

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

The LCM of 105,85,751 is 1340535.

Find LCM of 105,85,751 with Prime Factorization

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

5 x 21 x 17 x 751 = 1340535

Therefore, the lowest common multiple of 105,85,751 is 1340535.

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.

105 x 85 x 751 = 6702675

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.

105 : 1, 3, 5, 7, 15, 21, 35, 105

85 : 1, 5, 17, 85

751 : 1, 751

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 105,85,751, is 1.

Now, the common factors can be found like this.

105:3x 5x 7

85:5x 17

751:751

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

5 = 5

Therefore, the value for common factors is 5.

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 = 6702675/(1x5)

LCM = 6702675/5

LCM = 1340535

Thus, we can understand that the LCM of 105,85,751 is 1340535.

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

• LCM of 182, 82, 238
• LCM of 882, 77, 176
• LCM of 402, 65, 110
• LCM of 966, 99, 719
• LCM of 846, 38, 150

1. What is the LCM of 105, 85, 751?

Answer: LCM of 105, 85, 751 is 1340535.

2. How to calculate the LCM of 105, 85, 751?

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 105, 85, 751.

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}.