Given numbers are 112,149,145,102

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

The LCM of 112,149,145,102 is 123407760.

Find LCM of 112,149,145,102 with Prime Factorization

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

2 x 56 x 149 x 145 x 51 = 123407760

Therefore, the lowest common multiple of 112,149,145,102 is 123407760.

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.

112 x 149 x 145 x 102 = 246815520

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.

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

149 : 1, 149

145 : 1, 5, 29, 145

102 : 1, 2, 3, 6, 17, 34, 51, 102

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 112,149,145,102, is 1.

Now, the common factors can be found like this.

112:2x 2x 2x 2x 7

149:149

145:5x 29

102:2x 3x 17

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 = 246815520/(1x2)

LCM = 246815520/2

LCM = 123407760

Thus, we can understand that the LCM of 112,149,145,102 is 123407760.

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

• LCM of 173, 454, 564, 223
• LCM of 318, 168, 492, 537
• LCM of 724, 161, 435, 708
• LCM of 781, 916, 370, 465
• LCM of 987, 476, 224, 929

1. What is the LCM of 112, 149, 145, 102?

Answer: LCM of 112, 149, 145, 102 is 123407760.

2. How to calculate the LCM of 112, 149, 145, 102?

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 112, 149, 145, 102.

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}.