Given numbers are 425,104,209,338

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

The LCM of 425,104,209,338 is 120091400.

Find LCM of 425,104,209,338 with Prime Factorization

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

2 x 13 x 425 x 4 x 209 x 13 = 120091400

Therefore, the lowest common multiple of 425,104,209,338 is 120091400.

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.

425 x 104 x 209 x 338 = 3122376400

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.

425 : 1, 5, 17, 25, 85, 425

104 : 1, 2, 4, 8, 13, 26, 52, 104

209 : 1, 11, 19, 209

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 425,104,209,338, is 1.

Now, the common factors can be found like this.

425:5x 5x 17

104:2x 2x 2x 13

209:11x 19

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 13 = 26

Therefore, the value for common factors is 26.

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 = 3122376400/(1x26)

LCM = 3122376400/26

LCM = 120091400

Thus, we can understand that the LCM of 425,104,209,338 is 120091400.

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

• LCM of 379, 695, 563, 662
• LCM of 102, 928, 146, 881
• LCM of 104, 520, 821, 888
• LCM of 646, 708, 505, 248
• LCM of 533, 788, 633, 706

1. What is the LCM of 425, 104, 209, 338?

Answer: LCM of 425, 104, 209, 338 is 120091400.

2. How to calculate the LCM of 425, 104, 209, 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 425, 104, 209, 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}.