Given numbers are 79,30,46,24,454

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

The LCM of 79,30,46,24,454 is 49495080.

Find LCM of 79,30,46,24,454 with Prime Factorization

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

2 x 3 x 79 x 5 x 23 x 4 x 227 = 49495080

Therefore, the lowest common multiple of 79,30,46,24,454 is 49495080.

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.

79 x 30 x 46 x 24 x 454 = 1187881920

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.

79 : 1, 79

30 : 1, 2, 3, 5, 6, 10, 15, 30

46 : 1, 2, 23, 46

24 : 1, 2, 3, 4, 6, 8, 12, 24

454 : 1, 2, 227, 454

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 79,30,46,24,454, is 1.

Now, the common factors can be found like this.

79:79

30:2x 3x 5

46:2x 23

24:2x 2x 2x 3

454:2x 227

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 3 = 24

Therefore, the value for common factors is 24.

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 = 1187881920/(1x24)

LCM = 1187881920/24

LCM = 49495080

Thus, we can understand that the LCM of 79,30,46,24,454 is 49495080.

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

• LCM of 89, 85, 29, 39, 969
• LCM of 10, 31, 58, 93, 822
• LCM of 29, 92, 39, 45, 171
• LCM of 72, 99, 92, 99, 878
• LCM of 55, 53, 43, 82, 229

1. What is the LCM of 79, 30, 46, 24, 454?

Answer: LCM of 79, 30, 46, 24, 454 is 49495080.

2. How to calculate the LCM of 79, 30, 46, 24, 454?

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 79, 30, 46, 24, 454.

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}.