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LCM of 101, 144, 820, 996

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


Find the LCM of 101, 144, 820, 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 101, 144, 820, 996. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 101,144,820,996

Given numbers are 101,144,820,996

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

The LCM of 101,144,820,996 is 247466160.

Find LCM of 101,144,820,996 with Prime Factorization


2 101, 144, 820, 996
2 101, 72, 410, 498
3 101, 36, 205, 249
101, 12, 205, 83

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

2 x 2 x 3 x 101 x 12 x 205 x 83 = 247466160

Therefore, the lowest common multiple of 101,144,820,996 is 247466160.

LCM Formula to Find Lowest Common Multiple of 101,144,820,996

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.

101 x 144 x 820 x 996 = 11878375680

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.

101 : 1, 101

144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

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 101,144,820,996, is 1.

Now, the common factors can be found like this.

101:101

144:2x 2x 2x 2x 3x 3

820:2x 2x 5x 41

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 2x 3 = 48

Therefore, the value for common factors is 48.

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 = 11878375680/(1x48)

LCM = 11878375680/48

LCM = 247466160

Thus, we can understand that the LCM of 101,144,820,996 is 247466160.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 101, 144, 820, 996

1. What is the LCM of 101, 144, 820, 996?

Answer: LCM of 101, 144, 820, 996 is 247466160.

2. How to calculate the LCM of 101, 144, 820, 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 101, 144, 820, 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}.