Given numbers are 109,338,102,177

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

The LCM of 109,338,102,177 is 110857578.

Find LCM of 109,338,102,177 with Prime Factorization

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

2 x 3 x 109 x 169 x 17 x 59 = 110857578

Therefore, the lowest common multiple of 109,338,102,177 is 110857578.

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.

109 x 338 x 102 x 177 = 665145468

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.

109 : 1, 109

338 : 1, 2, 13, 26, 169, 338

102 : 1, 2, 3, 6, 17, 34, 51, 102

177 : 1, 3, 59, 177

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 109,338,102,177, is 1.

Now, the common factors can be found like this.

109:109

338:2x 13x 13

102:2x 3x 17

177:3x 59

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 665145468/(1x6)

LCM = 665145468/6

LCM = 110857578

Thus, we can understand that the LCM of 109,338,102,177 is 110857578.

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

• LCM of 518, 235, 405, 548
• LCM of 825, 813, 358, 231
• LCM of 454, 315, 571, 521
• LCM of 115, 645, 191, 267
• LCM of 937, 457, 633, 740

1. What is the LCM of 109, 338, 102, 177?

Answer: LCM of 109, 338, 102, 177 is 110857578.

2. How to calculate the LCM of 109, 338, 102, 177?

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 109, 338, 102, 177.

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}.