Given numbers are 125,314,102,338

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

The LCM of 125,314,102,338 is 338295750.

Find LCM of 125,314,102,338 with Prime Factorization

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

2 x 125 x 157 x 51 x 169 = 338295750

Therefore, the lowest common multiple of 125,314,102,338 is 338295750.

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.

125 x 314 x 102 x 338 = 1353183000

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.

125 : 1, 5, 25, 125

314 : 1, 2, 157, 314

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

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 125,314,102,338, is 1.

Now, the common factors can be found like this.

125:5x 5x 5

314:2x 157

102:2x 3x 17

338:2x 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 2 = 4

Therefore, the value for common factors is 4.

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 = 1353183000/(1x4)

LCM = 1353183000/4

LCM = 338295750

Thus, we can understand that the LCM of 125,314,102,338 is 338295750.

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

• LCM of 988, 791, 344, 827
• LCM of 437, 406, 917, 683
• LCM of 732, 381, 364, 273
• LCM of 350, 548, 485, 101
• LCM of 967, 117, 787, 353

1. What is the LCM of 125, 314, 102, 338?

Answer: LCM of 125, 314, 102, 338 is 338295750.

2. How to calculate the LCM of 125, 314, 102, 338?

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 125, 314, 102, 338.

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}.