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LCM of 871, 782, 693, 984

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


Find the LCM of 871, 782, 693, 984 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, 782, 693, 984. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 871,782,693,984

Given numbers are 871,782,693,984

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

The LCM of 871,782,693,984 is 77410877544.

Find LCM of 871,782,693,984 with Prime Factorization


2 871, 782, 693, 984
3 871, 391, 693, 492
871, 391, 231, 164

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

2 x 3 x 871 x 391 x 231 x 164 = 77410877544

Therefore, the lowest common multiple of 871,782,693,984 is 77410877544.

LCM Formula to Find Lowest Common Multiple of 871,782,693,984

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 782 x 693 x 984 = 464465265264

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

782 : 1, 2, 17, 23, 34, 46, 391, 782

693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 871,782,693,984, is 1.

Now, the common factors can be found like this.

871:13x 67

782:2x 17x 23

693:3x 3x 7x 11

984:2x 2x 2x 3x 41

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 464465265264/(1x6)

LCM = 464465265264/6

LCM = 77410877544

Thus, we can understand that the LCM of 871,782,693,984 is 77410877544.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 871, 782, 693, 984

1. What is the LCM of 871, 782, 693, 984?

Answer: LCM of 871, 782, 693, 984 is 77410877544.

2. How to calculate the LCM of 871, 782, 693, 984?

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, 782, 693, 984.

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}.