Given numbers are 75,224,106

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

The LCM of 75,224,106 is 890400.

Find LCM of 75,224,106 with Prime Factorization

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

2 x 75 x 112 x 53 = 890400

Therefore, the lowest common multiple of 75,224,106 is 890400.

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.

75 x 224 x 106 = 1780800

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.

75 : 1, 3, 5, 15, 25, 75

224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

106 : 1, 2, 53, 106

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 75,224,106, is 1.

Now, the common factors can be found like this.

75:3x 5x 5

224:2x 2x 2x 2x 2x 7

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.

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 = 1780800/(1x2)

LCM = 1780800/2

LCM = 890400

Thus, we can understand that the LCM of 75,224,106 is 890400.

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

• LCM of 30, 737, 989
• LCM of 17, 459, 116
• LCM of 23, 764, 168
• LCM of 43, 760, 759
• LCM of 17, 887, 980

1. What is the LCM of 75, 224, 106?

Answer: LCM of 75, 224, 106 is 890400.

2. How to calculate the LCM of 75, 224, 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 75, 224, 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}.