Given numbers are 590,34,524

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

The LCM of 590,34,524 is 2627860.

Find LCM of 590,34,524 with Prime Factorization

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

2 x 295 x 17 x 262 = 2627860

Therefore, the lowest common multiple of 590,34,524 is 2627860.

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.

590 x 34 x 524 = 10511440

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.

590 : 1, 2, 5, 10, 59, 118, 295, 590

34 : 1, 2, 17, 34

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 590,34,524, is 2.

Now, the common factors can be found like this.

590:2x 5x 59

34:2x 17

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.

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 = 10511440/(2x2)

LCM = 10511440/4

LCM = 2627860

Thus, we can understand that the LCM of 590,34,524 is 2627860.

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

• LCM of 514, 14, 422
• LCM of 661, 98, 956
• LCM of 686, 89, 707
• LCM of 752, 75, 303
• LCM of 495, 77, 362

1. What is the LCM of 590, 34, 524?

Answer: LCM of 590, 34, 524 is 2627860.

2. How to calculate the LCM of 590, 34, 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 590, 34, 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}.