Given numbers are 134,169,165,741,828

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

The LCM of 134,169,165,741,828 is 9797338980.

Find LCM of 134,169,165,741,828 with Prime Factorization

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

2 x 3 x 13 x 67 x 13 x 55 x 19 x 138 = 9797338980

Therefore, the lowest common multiple of 134,169,165,741,828 is 9797338980.

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.

134 x 169 x 165 x 741 x 828 = 2292577321320

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.

134 : 1, 2, 67, 134

169 : 1, 13, 169

165 : 1, 3, 5, 11, 15, 33, 55, 165

741 : 1, 3, 13, 19, 39, 57, 247, 741

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 134,169,165,741,828, is 1.

Now, the common factors can be found like this.

134:2x 67

169:13x 13

165:3x 5x 11

741:3x 13x 19

828:2x 2x 3x 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.

2x 3x 3x 13 = 234

Therefore, the value for common factors is 234.

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 = 2292577321320/(1x234)

LCM = 2292577321320/234

LCM = 9797338980

Thus, we can understand that the LCM of 134,169,165,741,828 is 9797338980.

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

• LCM of 719, 508, 158, 107, 809
• LCM of 495, 409, 863, 494, 822
• LCM of 293, 969, 208, 359, 668
• LCM of 938, 805, 407, 906, 388
• LCM of 263, 329, 152, 224, 493

1. What is the LCM of 134, 169, 165, 741, 828?

Answer: LCM of 134, 169, 165, 741, 828 is 9797338980.

2. How to calculate the LCM of 134, 169, 165, 741, 828?

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 134, 169, 165, 741, 828.

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}.