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LCM of 617, 219, 923, 221, 196

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


Find the LCM of 617, 219, 923, 221, 196 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 617, 219, 923, 221, 196. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 617,219,923,221,196

Given numbers are 617,219,923,221,196

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

The LCM of 617,219,923,221,196 is 415562138628.

Find LCM of 617,219,923,221,196 with Prime Factorization


13 617, 219, 923, 221, 196
617, 219, 71, 17, 196

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

13 x 617 x 219 x 71 x 17 x 196 = 415562138628

Therefore, the lowest common multiple of 617,219,923,221,196 is 415562138628.

LCM Formula to Find Lowest Common Multiple of 617,219,923,221,196

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.

617 x 219 x 923 x 221 x 196 = 5402307802164

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.

617 : 1, 617

219 : 1, 3, 73, 219

923 : 1, 13, 71, 923

221 : 1, 13, 17, 221

196 : 1, 2, 4, 7, 14, 28, 49, 98, 196

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 617,219,923,221,196, is 1.

Now, the common factors can be found like this.

617:617

219:3x 73

923:13x 71

221:13x 17

196:2x 2x 7x 7

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 = 5402307802164/(1x13)

LCM = 5402307802164/13

LCM = 415562138628

Thus, we can understand that the LCM of 617,219,923,221,196 is 415562138628.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 617, 219, 923, 221, 196

1. What is the LCM of 617, 219, 923, 221, 196?

Answer: LCM of 617, 219, 923, 221, 196 is 415562138628.

2. How to calculate the LCM of 617, 219, 923, 221, 196?

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 617, 219, 923, 221, 196.

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}.