Given numbers are 762,26,382

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

The LCM of 762,26,382 is 1892046.

Find LCM of 762,26,382 with Prime Factorization

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

2 x 381 x 13 x 191 = 1892046

Therefore, the lowest common multiple of 762,26,382 is 1892046.

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.

762 x 26 x 382 = 7568184

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.

762 : 1, 2, 3, 6, 127, 254, 381, 762

26 : 1, 2, 13, 26

382 : 1, 2, 191, 382

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 762,26,382, is 2.

Now, the common factors can be found like this.

762:2x 3x 127

26:2x 13

382:2x 191

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

2 = 2

Therefore, the value for common factors is 2.

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 = 7568184/(2x2)

LCM = 7568184/4

LCM = 1892046

Thus, we can understand that the LCM of 762,26,382 is 1892046.

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

• LCM of 939, 33, 302
• LCM of 296, 68, 597
• LCM of 122, 82, 852
• LCM of 521, 19, 333
• LCM of 879, 72, 675

1. What is the LCM of 762, 26, 382?

Answer: LCM of 762, 26, 382 is 1892046.

2. How to calculate the LCM of 762, 26, 382?

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 762, 26, 382.

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}.