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LCM of 122, 214, 162, 264

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


Find the LCM of 122, 214, 162, 264 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 122, 214, 162, 264. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 122,214,162,264

Given numbers are 122,214,162,264

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

The LCM of 122,214,162,264 is 46524456.

Find LCM of 122,214,162,264 with Prime Factorization


2 122, 214, 162, 264
3 61, 107, 81, 132
61, 107, 27, 44

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

2 x 3 x 61 x 107 x 27 x 44 = 46524456

Therefore, the lowest common multiple of 122,214,162,264 is 46524456.

LCM Formula to Find Lowest Common Multiple of 122,214,162,264

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.

122 x 214 x 162 x 264 = 1116586944

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.

122 : 1, 2, 61, 122

214 : 1, 2, 107, 214

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

264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 122,214,162,264, is 2.

Now, the common factors can be found like this.

122:2x 61

214:2x 107

162:2x 3x 3x 3x 3

264:2x 2x 2x 3x 11

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 3 = 12

Therefore, the value for common factors is 12.

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 = 1116586944/(2x12)

LCM = 1116586944/24

LCM = 46524456

Thus, we can understand that the LCM of 122,214,162,264 is 46524456.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 122, 214, 162, 264

1. What is the LCM of 122, 214, 162, 264?

Answer: LCM of 122, 214, 162, 264 is 46524456.

2. How to calculate the LCM of 122, 214, 162, 264?

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 122, 214, 162, 264.

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}.