Given numbers are 138,26,273

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

The LCM of 138,26,273 is 12558.

Find LCM of 138,26,273 with Prime Factorization

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

2 x 3 x 13 x 23 x 1 x 7 = 12558

Therefore, the lowest common multiple of 138,26,273 is 12558.

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.

138 x 26 x 273 = 979524

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.

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

26 : 1, 2, 13, 26

273 : 1, 3, 7, 13, 21, 39, 91, 273

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 138,26,273, is 1.

Now, the common factors can be found like this.

138:2x 3x 23

26:2x 13

273:3x 7x 13

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

2x 3x 13 = 78

Therefore, the value for common factors is 78.

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 = 979524/(1x78)

LCM = 979524/78

LCM = 12558

Thus, we can understand that the LCM of 138,26,273 is 12558.

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

• LCM of 934, 76, 892
• LCM of 598, 98, 675
• LCM of 975, 67, 117
• LCM of 315, 51, 304
• LCM of 334, 61, 138

1. What is the LCM of 138, 26, 273?

Answer: LCM of 138, 26, 273 is 12558.

2. How to calculate the LCM of 138, 26, 273?

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 138, 26, 273.

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}.