Given numbers are 76,43,76,428

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

The LCM of 76,43,76,428 is 349676.

Find LCM of 76,43,76,428 with Prime Factorization

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

2 x 2 x 19 x 1 x 43 x 1 x 107 = 349676

Therefore, the lowest common multiple of 76,43,76,428 is 349676.

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.

76 x 43 x 76 x 428 = 106301504

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.

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

43 : 1, 43

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

428 : 1, 2, 4, 107, 214, 428

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 76,43,76,428, is 1.

Now, the common factors can be found like this.

76:2x 2x 19

43:43

76:2x 2x 19

428:2x 2x 107

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 2x 19 = 304

Therefore, the value for common factors is 304.

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 = 106301504/(1x304)

LCM = 106301504/304

LCM = 349676

Thus, we can understand that the LCM of 76,43,76,428 is 349676.

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

• LCM of 66, 12, 73, 627
• LCM of 49, 67, 63, 103
• LCM of 67, 73, 15, 691
• LCM of 39, 74, 46, 749
• LCM of 14, 90, 50, 612

1. What is the LCM of 76, 43, 76, 428?

Answer: LCM of 76, 43, 76, 428 is 349676.

2. How to calculate the LCM of 76, 43, 76, 428?

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 76, 43, 76, 428.

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}.