Given numbers are 74,14,74,80,293

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

The LCM of 74,14,74,80,293 is 6070960.

Find LCM of 74,14,74,80,293 with Prime Factorization

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

2 x 37 x 1 x 7 x 1 x 40 x 293 = 6070960

Therefore, the lowest common multiple of 74,14,74,80,293 is 6070960.

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 14 x 74 x 80 x 293 = 1797004160

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

14 : 1, 2, 7, 14

74 : 1, 2, 37, 74

80 : 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

293 : 1, 293

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 74,14,74,80,293, is 1.

Now, the common factors can be found like this.

74:2x 37

14:2x 7

74:2x 37

80:2x 2x 2x 2x 5

293:293

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 37 = 296

Therefore, the value for common factors is 296.

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 = 1797004160/(1x296)

LCM = 1797004160/296

LCM = 6070960

Thus, we can understand that the LCM of 74,14,74,80,293 is 6070960.

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

• LCM of 85, 66, 27, 98, 479
• LCM of 15, 29, 59, 52, 436
• LCM of 14, 31, 70, 57, 225
• LCM of 19, 30, 68, 70, 111
• LCM of 66, 89, 59, 10, 384

1. What is the LCM of 74, 14, 74, 80, 293?

Answer: LCM of 74, 14, 74, 80, 293 is 6070960.

2. How to calculate the LCM of 74, 14, 74, 80, 293?

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, 14, 74, 80, 293.

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}.