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LCM of 48, 171, 247

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 48, 171, 247 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 48, 171, 247. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 48,171,247

Given numbers are 48,171,247

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

The LCM of 48,171,247 is 35568.

Find LCM of 48,171,247 with Prime Factorization


3 48, 171, 247
19 16, 57, 247
16, 3, 13

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

3 x 19 x 16 x 3 x 13 = 35568

Therefore, the lowest common multiple of 48,171,247 is 35568.

LCM Formula to Find Lowest Common Multiple of 48,171,247

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.

48 x 171 x 247 = 2027376

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.

48 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

171 : 1, 3, 9, 19, 57, 171

247 : 1, 13, 19, 247

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 48,171,247, is 1.

Now, the common factors can be found like this.

48:2x 2x 2x 2x 3

171:3x 3x 19

247:13x 19

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

3x 19 = 57

Therefore, the value for common factors is 57.

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 = 2027376/(1x57)

LCM = 2027376/57

LCM = 35568

Thus, we can understand that the LCM of 48,171,247 is 35568.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 48, 171, 247

1. What is the LCM of 48, 171, 247?

Answer: LCM of 48, 171, 247 is 35568.

2. How to calculate the LCM of 48, 171, 247?

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 48, 171, 247.

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}.