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LCM of 107, 818, 102, 202, 996

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


Find the LCM of 107, 818, 102, 202, 996 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 107, 818, 102, 202, 996. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 107,818,102,202,996

Given numbers are 107,818,102,202,996

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

The LCM of 107,818,102,202,996 is 74840506716.

Find LCM of 107,818,102,202,996 with Prime Factorization


2 107, 818, 102, 202, 996
3 107, 409, 51, 101, 498
107, 409, 17, 101, 166

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

2 x 3 x 107 x 409 x 17 x 101 x 166 = 74840506716

Therefore, the lowest common multiple of 107,818,102,202,996 is 74840506716.

LCM Formula to Find Lowest Common Multiple of 107,818,102,202,996

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.

107 x 818 x 102 x 202 x 996 = 1796172161184

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.

107 : 1, 107

818 : 1, 2, 409, 818

102 : 1, 2, 3, 6, 17, 34, 51, 102

202 : 1, 2, 101, 202

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 107,818,102,202,996, is 1.

Now, the common factors can be found like this.

107:107

818:2x 409

102:2x 3x 17

202:2x 101

996:2x 2x 3x 83

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 3 = 24

Therefore, the value for common factors is 24.

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 = 1796172161184/(1x24)

LCM = 1796172161184/24

LCM = 74840506716

Thus, we can understand that the LCM of 107,818,102,202,996 is 74840506716.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 107, 818, 102, 202, 996

1. What is the LCM of 107, 818, 102, 202, 996?

Answer: LCM of 107, 818, 102, 202, 996 is 74840506716.

2. How to calculate the LCM of 107, 818, 102, 202, 996?

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 107, 818, 102, 202, 996.

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}.