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LCM of 182, 253, 165, 716

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


Find the LCM of 182, 253, 165, 716 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 182, 253, 165, 716. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 182,253,165,716

Given numbers are 182,253,165,716

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

The LCM of 182,253,165,716 is 247267020.

Find LCM of 182,253,165,716 with Prime Factorization


2 182, 253, 165, 716
11 91, 253, 165, 358
91, 23, 15, 358

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

2 x 11 x 91 x 23 x 15 x 358 = 247267020

Therefore, the lowest common multiple of 182,253,165,716 is 247267020.

LCM Formula to Find Lowest Common Multiple of 182,253,165,716

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.

182 x 253 x 165 x 716 = 5439874440

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.

182 : 1, 2, 7, 13, 14, 26, 91, 182

253 : 1, 11, 23, 253

165 : 1, 3, 5, 11, 15, 33, 55, 165

716 : 1, 2, 4, 179, 358, 716

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 182,253,165,716, is 1.

Now, the common factors can be found like this.

182:2x 7x 13

253:11x 23

165:3x 5x 11

716:2x 2x 179

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

2x 11 = 22

Therefore, the value for common factors is 22.

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 = 5439874440/(1x22)

LCM = 5439874440/22

LCM = 247267020

Thus, we can understand that the LCM of 182,253,165,716 is 247267020.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 182, 253, 165, 716

1. What is the LCM of 182, 253, 165, 716?

Answer: LCM of 182, 253, 165, 716 is 247267020.

2. How to calculate the LCM of 182, 253, 165, 716?

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 182, 253, 165, 716.

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}.