Given numbers are 76,49,44,101

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

The LCM of 76,49,44,101 is 4137364.

Find LCM of 76,49,44,101 with Prime Factorization

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

2 x 2 x 19 x 49 x 11 x 101 = 4137364

Therefore, the lowest common multiple of 76,49,44,101 is 4137364.

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 49 x 44 x 101 = 16549456

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

49 : 1, 7, 49

44 : 1, 2, 4, 11, 22, 44

101 : 1, 101

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 76,49,44,101, is 1.

Now, the common factors can be found like this.

76:2x 2x 19

49:7x 7

44:2x 2x 11

101:101

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 = 16549456/(1x4)

LCM = 16549456/4

LCM = 4137364

Thus, we can understand that the LCM of 76,49,44,101 is 4137364.

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

• LCM of 17, 75, 94, 795
• LCM of 56, 94, 34, 644
• LCM of 27, 74, 37, 377
• LCM of 74, 42, 94, 403
• LCM of 39, 97, 40, 182

1. What is the LCM of 76, 49, 44, 101?

Answer: LCM of 76, 49, 44, 101 is 4137364.

2. How to calculate the LCM of 76, 49, 44, 101?

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, 49, 44, 101.

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}.