Given numbers are 74,37,46,71,293

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

The LCM of 74,37,46,71,293 is 35406706.

Find LCM of 74,37,46,71,293 with Prime Factorization

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

2 x 37 x 1 x 1 x 23 x 71 x 293 = 35406706

Therefore, the lowest common multiple of 74,37,46,71,293 is 35406706.

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 37 x 46 x 71 x 293 = 2620096244

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

37 : 1, 37

46 : 1, 2, 23, 46

71 : 1, 71

293 : 1, 293

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 74,37,46,71,293, is 1.

Now, the common factors can be found like this.

74:2x 37

37:37

46:2x 23

71:71

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 37 = 74

Therefore, the value for common factors is 74.

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 = 2620096244/(1x74)

LCM = 2620096244/74

LCM = 35406706

Thus, we can understand that the LCM of 74,37,46,71,293 is 35406706.

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

• LCM of 34, 10, 13, 87, 881
• LCM of 68, 42, 61, 68, 906
• LCM of 79, 98, 84, 21, 964
• LCM of 67, 59, 76, 59, 983
• LCM of 49, 23, 34, 69, 177

1. What is the LCM of 74, 37, 46, 71, 293?

Answer: LCM of 74, 37, 46, 71, 293 is 35406706.

2. How to calculate the LCM of 74, 37, 46, 71, 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, 37, 46, 71, 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}.