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LCM of 247, 174, 170, 323

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


Find the LCM of 247, 174, 170, 323 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 247, 174, 170, 323. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 247,174,170,323

Given numbers are 247,174,170,323

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

The LCM of 247,174,170,323 is 3653130.

Find LCM of 247,174,170,323 with Prime Factorization


2 247, 174, 170, 323
17 247, 87, 85, 323
19 247, 87, 5, 19
13, 87, 5, 1

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

2 x 17 x 19 x 13 x 87 x 5 x 1 = 3653130

Therefore, the lowest common multiple of 247,174,170,323 is 3653130.

LCM Formula to Find Lowest Common Multiple of 247,174,170,323

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.

247 x 174 x 170 x 323 = 2359921980

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.

247 : 1, 13, 19, 247

174 : 1, 2, 3, 6, 29, 58, 87, 174

170 : 1, 2, 5, 10, 17, 34, 85, 170

323 : 1, 17, 19, 323

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 247,174,170,323, is 1.

Now, the common factors can be found like this.

247:13x 19

174:2x 3x 29

170:2x 5x 17

323:17x 19

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

2x 17x 19 = 646

Therefore, the value for common factors is 646.

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 = 2359921980/(1x646)

LCM = 2359921980/646

LCM = 3653130

Thus, we can understand that the LCM of 247,174,170,323 is 3653130.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 247, 174, 170, 323

1. What is the LCM of 247, 174, 170, 323?

Answer: LCM of 247, 174, 170, 323 is 3653130.

2. How to calculate the LCM of 247, 174, 170, 323?

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 247, 174, 170, 323.

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}.