Given numbers are 235,310,106

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

The LCM of 235,310,106 is 772210.

Find LCM of 235,310,106 with Prime Factorization

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

2 x 5 x 47 x 31 x 53 = 772210

Therefore, the lowest common multiple of 235,310,106 is 772210.

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.

235 x 310 x 106 = 7722100

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.

235 : 1, 5, 47, 235

310 : 1, 2, 5, 10, 31, 62, 155, 310

106 : 1, 2, 53, 106

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 235,310,106, is 1.

Now, the common factors can be found like this.

235:5x 47

310:2x 5x 31

106:2x 53

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

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 7722100/(1x10)

LCM = 7722100/10

LCM = 772210

Thus, we can understand that the LCM of 235,310,106 is 772210.

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

• LCM of 861, 942, 628
• LCM of 388, 787, 548
• LCM of 938, 906, 648
• LCM of 692, 417, 145
• LCM of 107, 453, 797

1. What is the LCM of 235, 310, 106?

Answer: LCM of 235, 310, 106 is 772210.

2. How to calculate the LCM of 235, 310, 106?

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 235, 310, 106.

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}.