Given numbers are 768,19,378

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

The LCM of 768,19,378 is 919296.

Find LCM of 768,19,378 with Prime Factorization

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

2 x 3 x 128 x 19 x 63 = 919296

Therefore, the lowest common multiple of 768,19,378 is 919296.

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.

768 x 19 x 378 = 5515776

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.

768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

19 : 1, 19

378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 768,19,378, is 1.

Now, the common factors can be found like this.

768:2x 2x 2x 2x 2x 2x 2x 2x 3

19:19

378:2x 3x 3x 3x 7

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 = 5515776/(1x6)

LCM = 5515776/6

LCM = 919296

Thus, we can understand that the LCM of 768,19,378 is 919296.

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

• LCM of 187, 12, 755
• LCM of 969, 88, 156
• LCM of 938, 80, 773
• LCM of 133, 63, 165
• LCM of 766, 19, 354

1. What is the LCM of 768, 19, 378?

Answer: LCM of 768, 19, 378 is 919296.

2. How to calculate the LCM of 768, 19, 378?

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 768, 19, 378.

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}.