Given numbers are 905,38,454

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

The LCM of 905,38,454 is 7806530.

Find LCM of 905,38,454 with Prime Factorization

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

2 x 905 x 19 x 227 = 7806530

Therefore, the lowest common multiple of 905,38,454 is 7806530.

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.

905 x 38 x 454 = 15613060

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.

905 : 1, 5, 181, 905

38 : 1, 2, 19, 38

454 : 1, 2, 227, 454

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 905,38,454, is 1.

Now, the common factors can be found like this.

905:5x 181

38:2x 19

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.

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 = 15613060/(1x2)

LCM = 15613060/2

LCM = 7806530

Thus, we can understand that the LCM of 905,38,454 is 7806530.

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

• LCM of 782, 48, 744
• LCM of 152, 67, 148
• LCM of 692, 26, 199
• LCM of 515, 42, 512
• LCM of 995, 21, 237

1. What is the LCM of 905, 38, 454?

Answer: LCM of 905, 38, 454 is 7806530.

2. How to calculate the LCM of 905, 38, 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 905, 38, 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}.