Given numbers are 241,74,416

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

The LCM of 241,74,416 is 3709472.

Find LCM of 241,74,416 with Prime Factorization

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

2 x 241 x 37 x 208 = 3709472

Therefore, the lowest common multiple of 241,74,416 is 3709472.

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.

241 x 74 x 416 = 7418944

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.

241 : 1, 241

74 : 1, 2, 37, 74

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 241,74,416, is 1.

Now, the common factors can be found like this.

241:241

74:2x 37

416:2x 2x 2x 2x 2x 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 = 7418944/(1x2)

LCM = 7418944/2

LCM = 3709472

Thus, we can understand that the LCM of 241,74,416 is 3709472.

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

• LCM of 781, 93, 508
• LCM of 846, 14, 223
• LCM of 960, 79, 173
• LCM of 189, 19, 975
• LCM of 417, 23, 107

1. What is the LCM of 241, 74, 416?

Answer: LCM of 241, 74, 416 is 3709472.

2. How to calculate the LCM of 241, 74, 416?

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 241, 74, 416.

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}.