Given numbers are 458,48,107

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

The LCM of 458,48,107 is 1176144.

Find LCM of 458,48,107 with Prime Factorization

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

2 x 229 x 24 x 107 = 1176144

Therefore, the lowest common multiple of 458,48,107 is 1176144.

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.

458 x 48 x 107 = 2352288

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.

458 : 1, 2, 229, 458

48 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

107 : 1, 107

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 458,48,107, is 1.

Now, the common factors can be found like this.

458:2x 229

48:2x 2x 2x 2x 3

107:107

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

2 = 2

Therefore, the value for common factors is 2.

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 = 2352288/(1x2)

LCM = 2352288/2

LCM = 1176144

Thus, we can understand that the LCM of 458,48,107 is 1176144.

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

• LCM of 809, 64, 183
• LCM of 275, 39, 927
• LCM of 397, 48, 530
• LCM of 706, 91, 836
• LCM of 995, 15, 788

1. What is the LCM of 458, 48, 107?

Answer: LCM of 458, 48, 107 is 1176144.

2. How to calculate the LCM of 458, 48, 107?

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 458, 48, 107.

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}.