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LCM of 682, 737, 722, 986, 105

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


Find the LCM of 682, 737, 722, 986, 105 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 682, 737, 722, 986, 105. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 682,737,722,986,105

Given numbers are 682,737,722,986,105

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

The LCM of 682,737,722,986,105 is 853891317510.

Find LCM of 682,737,722,986,105 with Prime Factorization


2 682, 737, 722, 986, 105
11 341, 737, 361, 493, 105
31, 67, 361, 493, 105

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

2 x 11 x 31 x 67 x 361 x 493 x 105 = 853891317510

Therefore, the lowest common multiple of 682,737,722,986,105 is 853891317510.

LCM Formula to Find Lowest Common Multiple of 682,737,722,986,105

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.

682 x 737 x 722 x 986 x 105 = 37571217970440

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.

682 : 1, 2, 11, 22, 31, 62, 341, 682

737 : 1, 11, 67, 737

722 : 1, 2, 19, 38, 361, 722

986 : 1, 2, 17, 29, 34, 58, 493, 986

105 : 1, 3, 5, 7, 15, 21, 35, 105

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 682,737,722,986,105, is 1.

Now, the common factors can be found like this.

682:2x 11x 31

737:11x 67

722:2x 19x 19

986:2x 17x 29

105:3x 5x 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 11 = 44

Therefore, the value for common factors is 44.

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 = 37571217970440/(1x44)

LCM = 37571217970440/44

LCM = 853891317510

Thus, we can understand that the LCM of 682,737,722,986,105 is 853891317510.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 682, 737, 722, 986, 105

1. What is the LCM of 682, 737, 722, 986, 105?

Answer: LCM of 682, 737, 722, 986, 105 is 853891317510.

2. How to calculate the LCM of 682, 737, 722, 986, 105?

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 682, 737, 722, 986, 105.

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}.