Given numbers are 69,39,87,91,269

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

The LCM of 69,39,87,91,269 is 48982479.

Find LCM of 69,39,87,91,269 with Prime Factorization

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

3 x 13 x 23 x 1 x 29 x 7 x 269 = 48982479

Therefore, the lowest common multiple of 69,39,87,91,269 is 48982479.

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.

69 x 39 x 87 x 91 x 269 = 5730950043

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.

69 : 1, 3, 23, 69

39 : 1, 3, 13, 39

87 : 1, 3, 29, 87

91 : 1, 7, 13, 91

269 : 1, 269

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 69,39,87,91,269, is 1.

Now, the common factors can be found like this.

69:3x 23

39:3x 13

87:3x 29

91:7x 13

269:269

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

3x 3x 13 = 117

Therefore, the value for common factors is 117.

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 = 5730950043/(1x117)

LCM = 5730950043/117

LCM = 48982479

Thus, we can understand that the LCM of 69,39,87,91,269 is 48982479.

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

• LCM of 70, 42, 59, 40, 214
• LCM of 59, 56, 98, 51, 648
• LCM of 10, 84, 54, 98, 853
• LCM of 78, 87, 12, 50, 686
• LCM of 93, 99, 21, 82, 325

1. What is the LCM of 69, 39, 87, 91, 269?

Answer: LCM of 69, 39, 87, 91, 269 is 48982479.

2. How to calculate the LCM of 69, 39, 87, 91, 269?

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 69, 39, 87, 91, 269.

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}.