Given numbers are 105,661,114

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

The LCM of 105,661,114 is 2637390.

Find LCM of 105,661,114 with Prime Factorization

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

3 x 35 x 661 x 38 = 2637390

Therefore, the lowest common multiple of 105,661,114 is 2637390.

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 661 x 114 = 7912170

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

661 : 1, 661

114 : 1, 2, 3, 6, 19, 38, 57, 114

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 105,661,114, is 1.

Now, the common factors can be found like this.

105:3x 5x 7

661:661

114:2x 3x 19

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

3 = 3

Therefore, the value for common factors is 3.

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 = 7912170/(1x3)

LCM = 7912170/3

LCM = 2637390

Thus, we can understand that the LCM of 105,661,114 is 2637390.

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

• LCM of 148, 766, 199
• LCM of 838, 532, 710
• LCM of 897, 661, 691
• LCM of 883, 257, 960
• LCM of 763, 605, 687

1. What is the LCM of 105, 661, 114?

Answer: LCM of 105, 661, 114 is 2637390.

2. How to calculate the LCM of 105, 661, 114?

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, 661, 114.

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}.