Given numbers are 74,35,312

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

The LCM of 74,35,312 is 404040.

Find LCM of 74,35,312 with Prime Factorization

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

2 x 37 x 35 x 156 = 404040

Therefore, the lowest common multiple of 74,35,312 is 404040.

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.

74 x 35 x 312 = 808080

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.

74 : 1, 2, 37, 74

35 : 1, 5, 7, 35

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 74,35,312, is 1.

Now, the common factors can be found like this.

74:2x 37

35:5x 7

312:2x 2x 2x 3x 13

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

2 = 2

Therefore, the value for common factors is 2.

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 = 808080/(1x2)

LCM = 808080/2

LCM = 404040

Thus, we can understand that the LCM of 74,35,312 is 404040.

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

• LCM of 24, 22, 890
• LCM of 50, 68, 344
• LCM of 17, 92, 451
• LCM of 77, 54, 409
• LCM of 44, 77, 166

1. What is the LCM of 74, 35, 312?

Answer: LCM of 74, 35, 312 is 404040.

2. How to calculate the LCM of 74, 35, 312?

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 74, 35, 312.

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}.