LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

LCM of 681, 728, 296, 871

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


Find the LCM of 681, 728, 296, 871 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 681, 728, 296, 871. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 681,728,296,871

Given numbers are 681,728,296,871

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

The LCM of 681,728,296,871 is 1229008872.

Find LCM of 681,728,296,871 with Prime Factorization


2 681, 728, 296, 871
2 681, 364, 148, 871
2 681, 182, 74, 871
13 681, 91, 37, 871
681, 7, 37, 67

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

2 x 2 x 2 x 13 x 681 x 7 x 37 x 67 = 1229008872

Therefore, the lowest common multiple of 681,728,296,871 is 1229008872.

LCM Formula to Find Lowest Common Multiple of 681,728,296,871

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.

681 x 728 x 296 x 871 = 127816922688

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.

681 : 1, 3, 227, 681

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

296 : 1, 2, 4, 8, 37, 74, 148, 296

871 : 1, 13, 67, 871

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 681,728,296,871, is 1.

Now, the common factors can be found like this.

681:3x 227

728:2x 2x 2x 7x 13

296:2x 2x 2x 37

871:13x 67

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 = 127816922688/(1x104)

LCM = 127816922688/104

LCM = 1229008872

Thus, we can understand that the LCM of 681,728,296,871 is 1229008872.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 681, 728, 296, 871

1. What is the LCM of 681, 728, 296, 871?

Answer: LCM of 681, 728, 296, 871 is 1229008872.

2. How to calculate the LCM of 681, 728, 296, 871?

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 681, 728, 296, 871.

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}.