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LCM of 162, 658, 584, 622, 196

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


Find the LCM of 162, 658, 584, 622, 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 162, 658, 584, 622, 196. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 162,658,584,622,196

Given numbers are 162,658,584,622,196

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

The LCM of 162,658,584,622,196 is 33880685832.

Find LCM of 162,658,584,622,196 with Prime Factorization


2 162, 658, 584, 622, 196
2 81, 329, 292, 311, 98
7 81, 329, 146, 311, 49
81, 47, 146, 311, 7

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

2 x 2 x 7 x 81 x 47 x 146 x 311 x 7 = 33880685832

Therefore, the lowest common multiple of 162,658,584,622,196 is 33880685832.

LCM Formula to Find Lowest Common Multiple of 162,658,584,622,196

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.

162 x 658 x 584 x 622 x 196 = 7589273626368

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.

162 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162

658 : 1, 2, 7, 14, 47, 94, 329, 658

584 : 1, 2, 4, 8, 73, 146, 292, 584

622 : 1, 2, 311, 622

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 162,658,584,622,196, is 2.

Now, the common factors can be found like this.

162:2x 3x 3x 3x 3

658:2x 7x 47

584:2x 2x 2x 73

622:2x 311

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.

2x 2x 2x 2x 7 = 112

Therefore, the value for common factors is 112.

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 = 7589273626368/(2x112)

LCM = 7589273626368/224

LCM = 33880685832

Thus, we can understand that the LCM of 162,658,584,622,196 is 33880685832.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 162, 658, 584, 622, 196

1. What is the LCM of 162, 658, 584, 622, 196?

Answer: LCM of 162, 658, 584, 622, 196 is 33880685832.

2. How to calculate the LCM of 162, 658, 584, 622, 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 162, 658, 584, 622, 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}.