Given numbers are 90,74,834

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

The LCM of 90,74,834 is 462870.

Find LCM of 90,74,834 with Prime Factorization

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

2 x 3 x 15 x 37 x 139 = 462870

Therefore, the lowest common multiple of 90,74,834 is 462870.

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.

90 x 74 x 834 = 5554440

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.

90 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

74 : 1, 2, 37, 74

834 : 1, 2, 3, 6, 139, 278, 417, 834

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 90,74,834, is 2.

Now, the common factors can be found like this.

90:2x 3x 3x 5

74:2x 37

834:2x 3x 139

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 = 5554440/(2x6)

LCM = 5554440/12

LCM = 462870

Thus, we can understand that the LCM of 90,74,834 is 462870.

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

• LCM of 68, 41, 163
• LCM of 97, 17, 324
• LCM of 23, 18, 312
• LCM of 60, 81, 379
• LCM of 73, 87, 485

1. What is the LCM of 90, 74, 834?

Answer: LCM of 90, 74, 834 is 462870.

2. How to calculate the LCM of 90, 74, 834?

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 90, 74, 834.

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}.