Given numbers are 584,31,524

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

The LCM of 584,31,524 is 2371624.

Find LCM of 584,31,524 with Prime Factorization

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

2 x 2 x 146 x 31 x 131 = 2371624

Therefore, the lowest common multiple of 584,31,524 is 2371624.

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.

584 x 31 x 524 = 9486496

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.

584 : 1, 2, 4, 8, 73, 146, 292, 584

31 : 1, 31

524 : 1, 2, 4, 131, 262, 524

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 584,31,524, is 1.

Now, the common factors can be found like this.

584:2x 2x 2x 73

31:31

524:2x 2x 131

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 9486496/(1x4)

LCM = 9486496/4

LCM = 2371624

Thus, we can understand that the LCM of 584,31,524 is 2371624.

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

• LCM of 516, 82, 799
• LCM of 894, 91, 558
• LCM of 264, 71, 229
• LCM of 398, 27, 976
• LCM of 979, 90, 120

1. What is the LCM of 584, 31, 524?

Answer: LCM of 584, 31, 524 is 2371624.

2. How to calculate the LCM of 584, 31, 524?

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 584, 31, 524.

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}.