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LCM of 871, 820, 234, 112

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


Find the LCM of 871, 820, 234, 112 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 871, 820, 234, 112. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 871,820,234,112

Given numbers are 871,820,234,112

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

The LCM of 871,820,234,112 is 179983440.

Find LCM of 871,820,234,112 with Prime Factorization


2 871, 820, 234, 112
2 871, 410, 117, 56
13 871, 205, 117, 28
67, 205, 9, 28

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

2 x 2 x 13 x 67 x 205 x 9 x 28 = 179983440

Therefore, the lowest common multiple of 871,820,234,112 is 179983440.

LCM Formula to Find Lowest Common Multiple of 871,820,234,112

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.

871 x 820 x 234 x 112 = 18718277760

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.

871 : 1, 13, 67, 871

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

234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 871,820,234,112, is 1.

Now, the common factors can be found like this.

871:13x 67

820:2x 2x 5x 41

234:2x 3x 3x 13

112:2x 2x 2x 2x 7

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 13 = 104

Therefore, the value for common factors is 104.

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 = 18718277760/(1x104)

LCM = 18718277760/104

LCM = 179983440

Thus, we can understand that the LCM of 871,820,234,112 is 179983440.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 871, 820, 234, 112

1. What is the LCM of 871, 820, 234, 112?

Answer: LCM of 871, 820, 234, 112 is 179983440.

2. How to calculate the LCM of 871, 820, 234, 112?

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 871, 820, 234, 112.

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}.