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LCM of 174, 418, 583, 253

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


Find the LCM of 174, 418, 583, 253 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 174, 418, 583, 253. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 174,418,583,253

Given numbers are 174,418,583,253

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

The LCM of 174,418,583,253 is 44330154.

Find LCM of 174,418,583,253 with Prime Factorization


2 174, 418, 583, 253
11 87, 209, 583, 253
87, 19, 53, 23

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

2 x 11 x 87 x 19 x 53 x 23 = 44330154

Therefore, the lowest common multiple of 174,418,583,253 is 44330154.

LCM Formula to Find Lowest Common Multiple of 174,418,583,253

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.

174 x 418 x 583 x 253 = 10727897268

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.

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

418 : 1, 2, 11, 19, 22, 38, 209, 418

583 : 1, 11, 53, 583

253 : 1, 11, 23, 253

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 174,418,583,253, is 1.

Now, the common factors can be found like this.

174:2x 3x 29

418:2x 11x 19

583:11x 53

253:11x 23

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

2x 11x 11 = 242

Therefore, the value for common factors is 242.

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 = 10727897268/(1x242)

LCM = 10727897268/242

LCM = 44330154

Thus, we can understand that the LCM of 174,418,583,253 is 44330154.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 174, 418, 583, 253

1. What is the LCM of 174, 418, 583, 253?

Answer: LCM of 174, 418, 583, 253 is 44330154.

2. How to calculate the LCM of 174, 418, 583, 253?

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 174, 418, 583, 253.

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}.