Given numbers are 36,26,39,169

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

The LCM of 36,26,39,169 is 6084.

Find LCM of 36,26,39,169 with Prime Factorization

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

2 x 3 x 13 x 6 x 1 x 1 x 13 = 6084

Therefore, the lowest common multiple of 36,26,39,169 is 6084.

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.

36 x 26 x 39 x 169 = 6169176

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.

36 : 1, 2, 3, 4, 6, 9, 12, 18, 36

26 : 1, 2, 13, 26

39 : 1, 3, 13, 39

169 : 1, 13, 169

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 36,26,39,169, is 1.

Now, the common factors can be found like this.

36:2x 2x 3x 3

26:2x 13

39:3x 13

169:13x 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 13x 13 = 1014

Therefore, the value for common factors is 1014.

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 = 6169176/(1x1014)

LCM = 6169176/1014

LCM = 6084

Thus, we can understand that the LCM of 36,26,39,169 is 6084.

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

• LCM of 76, 71, 33, 405
• LCM of 41, 23, 67, 930
• LCM of 90, 12, 54, 528
• LCM of 73, 71, 81, 400
• LCM of 82, 98, 63, 831

1. What is the LCM of 36, 26, 39, 169?

Answer: LCM of 36, 26, 39, 169 is 6084.

2. How to calculate the LCM of 36, 26, 39, 169?

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 36, 26, 39, 169.

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}.