Given numbers are 905,55,724

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

The LCM of 905,55,724 is 39820.

Find LCM of 905,55,724 with Prime Factorization

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

5 x 181 x 1 x 11 x 4 = 39820

Therefore, the lowest common multiple of 905,55,724 is 39820.

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 55 x 724 = 36037100

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

55 : 1, 5, 11, 55

724 : 1, 2, 4, 181, 362, 724

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 905,55,724, is 1.

Now, the common factors can be found like this.

905:5x 181

55:5x 11

724:2x 2x 181

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

5x 181 = 905

Therefore, the value for common factors is 905.

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 = 36037100/(1x905)

LCM = 36037100/905

LCM = 39820

Thus, we can understand that the LCM of 905,55,724 is 39820.

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

• LCM of 250, 44, 781
• LCM of 197, 66, 982
• LCM of 296, 52, 660
• LCM of 520, 57, 699
• LCM of 972, 76, 207

1. What is the LCM of 905, 55, 724?

Answer: LCM of 905, 55, 724 is 39820.

2. How to calculate the LCM of 905, 55, 724?

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, 55, 724.

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}.