Given numbers are 89,37,77,74,381

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

The LCM of 89,37,77,74,381 is 193213482.

Find LCM of 89,37,77,74,381 with Prime Factorization

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

37 x 89 x 1 x 77 x 2 x 381 = 193213482

Therefore, the lowest common multiple of 89,37,77,74,381 is 193213482.

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.

89 x 37 x 77 x 74 x 381 = 7148898834

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.

89 : 1, 89

37 : 1, 37

77 : 1, 7, 11, 77

74 : 1, 2, 37, 74

381 : 1, 3, 127, 381

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 89,37,77,74,381, is 1.

Now, the common factors can be found like this.

89:89

37:37

77:7x 11

74:2x 37

381:3x 127

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

37 = 37

Therefore, the value for common factors is 37.

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 = 7148898834/(1x37)

LCM = 7148898834/37

LCM = 193213482

Thus, we can understand that the LCM of 89,37,77,74,381 is 193213482.

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

• LCM of 33, 98, 29, 52, 434
• LCM of 38, 12, 40, 39, 663
• LCM of 64, 83, 34, 63, 693
• LCM of 23, 29, 65, 79, 566
• LCM of 90, 86, 81, 76, 800

1. What is the LCM of 89, 37, 77, 74, 381?

Answer: LCM of 89, 37, 77, 74, 381 is 193213482.

2. How to calculate the LCM of 89, 37, 77, 74, 381?

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 89, 37, 77, 74, 381.

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}.