Given numbers are 112,10,138

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

The LCM of 112,10,138 is 38640.

Find LCM of 112,10,138 with Prime Factorization

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

2 x 56 x 5 x 69 = 38640

Therefore, the lowest common multiple of 112,10,138 is 38640.

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 10 x 138 = 154560

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

10 : 1, 2, 5, 10

138 : 1, 2, 3, 6, 23, 46, 69, 138

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 112,10,138, is 2.

Now, the common factors can be found like this.

112:2x 2x 2x 2x 7

10:2x 5

138:2x 3x 23

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 = 154560/(2x2)

LCM = 154560/4

LCM = 38640

Thus, we can understand that the LCM of 112,10,138 is 38640.

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

• LCM of 736, 54, 984
• LCM of 517, 74, 546
• LCM of 532, 31, 164
• LCM of 781, 76, 768
• LCM of 676, 74, 597

1. What is the LCM of 112, 10, 138?

Answer: LCM of 112, 10, 138 is 38640.

2. How to calculate the LCM of 112, 10, 138?

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, 10, 138.

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}.