Given numbers are 756,170,338,331

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

The LCM of 756,170,338,331 is 3594640140.

Find LCM of 756,170,338,331 with Prime Factorization

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

2 x 378 x 85 x 169 x 331 = 3594640140

Therefore, the lowest common multiple of 756,170,338,331 is 3594640140.

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.

756 x 170 x 338 x 331 = 14378560560

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.

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

170 : 1, 2, 5, 10, 17, 34, 85, 170

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

331 : 1, 331

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 756,170,338,331, is 1.

Now, the common factors can be found like this.

756:2x 2x 3x 3x 3x 7

170:2x 5x 17

338:2x 13x 13

331:331

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 = 14378560560/(1x4)

LCM = 14378560560/4

LCM = 3594640140

Thus, we can understand that the LCM of 756,170,338,331 is 3594640140.

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

• LCM of 549, 954, 556, 872
• LCM of 305, 830, 663, 636
• LCM of 865, 889, 322, 746
• LCM of 256, 370, 225, 413
• LCM of 940, 150, 783, 879

1. What is the LCM of 756, 170, 338, 331?

Answer: LCM of 756, 170, 338, 331 is 3594640140.

2. How to calculate the LCM of 756, 170, 338, 331?

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 756, 170, 338, 331.

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}.