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LCM of 106, 792, 720, 116

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


Find the LCM of 106, 792, 720, 116 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 106, 792, 720, 116. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 106,792,720,116

Given numbers are 106,792,720,116

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

The LCM of 106,792,720,116 is 12173040.

Find LCM of 106,792,720,116 with Prime Factorization


2 106, 792, 720, 116
2 53, 396, 360, 58
2 53, 198, 180, 29
3 53, 99, 90, 29
3 53, 33, 30, 29
53, 11, 10, 29

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

2 x 2 x 2 x 3 x 3 x 53 x 11 x 10 x 29 = 12173040

Therefore, the lowest common multiple of 106,792,720,116 is 12173040.

LCM Formula to Find Lowest Common Multiple of 106,792,720,116

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.

106 x 792 x 720 x 116 = 7011671040

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.

106 : 1, 2, 53, 106

792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

116 : 1, 2, 4, 29, 58, 116

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 106,792,720,116, is 2.

Now, the common factors can be found like this.

106:2x 53

792:2x 2x 2x 3x 3x 11

720:2x 2x 2x 2x 3x 3x 5

116:2x 2x 29

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 2x 3x 3 = 288

Therefore, the value for common factors is 288.

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 = 7011671040/(2x288)

LCM = 7011671040/576

LCM = 12173040

Thus, we can understand that the LCM of 106,792,720,116 is 12173040.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 106, 792, 720, 116

1. What is the LCM of 106, 792, 720, 116?

Answer: LCM of 106, 792, 720, 116 is 12173040.

2. How to calculate the LCM of 106, 792, 720, 116?

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 106, 792, 720, 116.

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}.