Given numbers are 397,52,117

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

The LCM of 397,52,117 is 185796.

Find LCM of 397,52,117 with Prime Factorization

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

13 x 397 x 4 x 9 = 185796

Therefore, the lowest common multiple of 397,52,117 is 185796.

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.

397 x 52 x 117 = 2415348

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.

397 : 1, 397

52 : 1, 2, 4, 13, 26, 52

117 : 1, 3, 9, 13, 39, 117

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 397,52,117, is 1.

Now, the common factors can be found like this.

397:397

52:2x 2x 13

117:3x 3x 13

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

13 = 13

Therefore, the value for common factors is 13.

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 = 2415348/(1x13)

LCM = 2415348/13

LCM = 185796

Thus, we can understand that the LCM of 397,52,117 is 185796.

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

• LCM of 533, 10, 905
• LCM of 529, 93, 810
• LCM of 319, 62, 995
• LCM of 312, 14, 672
• LCM of 383, 16, 559

1. What is the LCM of 397, 52, 117?

Answer: LCM of 397, 52, 117 is 185796.

2. How to calculate the LCM of 397, 52, 117?

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 397, 52, 117.

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}.