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LCM of 122, 996, 194, 110, 570

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


Find the LCM of 122, 996, 194, 110, 570 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, 996, 194, 110, 570. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 122,996,194,110,570

Given numbers are 122,996,194,110,570

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

The LCM of 122,996,194,110,570 is 6158531940.

Find LCM of 122,996,194,110,570 with Prime Factorization


2 122, 996, 194, 110, 570
3 61, 498, 97, 55, 285
5 61, 166, 97, 55, 95
61, 166, 97, 11, 19

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

2 x 3 x 5 x 61 x 166 x 97 x 11 x 19 = 6158531940

Therefore, the lowest common multiple of 122,996,194,110,570 is 6158531940.

LCM Formula to Find Lowest Common Multiple of 122,996,194,110,570

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 996 x 194 x 110 x 570 = 1478047665600

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

996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

194 : 1, 2, 97, 194

110 : 1, 2, 5, 10, 11, 22, 55, 110

570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 122,996,194,110,570, is 2.

Now, the common factors can be found like this.

122:2x 61

996:2x 2x 3x 83

194:2x 97

110:2x 5x 11

570:2x 3x 5x 19

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 3x 5 = 120

Therefore, the value for common factors is 120.

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 = 1478047665600/(2x120)

LCM = 1478047665600/240

LCM = 6158531940

Thus, we can understand that the LCM of 122,996,194,110,570 is 6158531940.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 122, 996, 194, 110, 570

1. What is the LCM of 122, 996, 194, 110, 570?

Answer: LCM of 122, 996, 194, 110, 570 is 6158531940.

2. How to calculate the LCM of 122, 996, 194, 110, 570?

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, 996, 194, 110, 570.

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}.