Given numbers are 68,76,19,478

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

The LCM of 68,76,19,478 is 308788.

Find LCM of 68,76,19,478 with Prime Factorization

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

2 x 2 x 19 x 17 x 1 x 1 x 239 = 308788

Therefore, the lowest common multiple of 68,76,19,478 is 308788.

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.

68 x 76 x 19 x 478 = 46935776

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.

68 : 1, 2, 4, 17, 34, 68

76 : 1, 2, 4, 19, 38, 76

19 : 1, 19

478 : 1, 2, 239, 478

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 68,76,19,478, is 1.

Now, the common factors can be found like this.

68:2x 2x 17

76:2x 2x 19

19:19

478:2x 239

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

2x 2x 2x 19 = 152

Therefore, the value for common factors is 152.

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 = 46935776/(1x152)

LCM = 46935776/152

LCM = 308788

Thus, we can understand that the LCM of 68,76,19,478 is 308788.

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

• LCM of 90, 30, 68, 319
• LCM of 31, 32, 95, 268
• LCM of 93, 28, 70, 662
• LCM of 53, 19, 11, 894
• LCM of 25, 57, 49, 239

1. What is the LCM of 68, 76, 19, 478?

Answer: LCM of 68, 76, 19, 478 is 308788.

2. How to calculate the LCM of 68, 76, 19, 478?

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 68, 76, 19, 478.

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}.