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 826, 968, 371, 791, 453

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


Find the LCM of 826, 968, 371, 791, 453 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 826, 968, 371, 791, 453. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 826,968,371,791,453

Given numbers are 826,968,371,791,453

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

The LCM of 826,968,371,791,453 is 1084620788328.

Find LCM of 826,968,371,791,453 with Prime Factorization


2 826, 968, 371, 791, 453
7 413, 484, 371, 791, 453
59, 484, 53, 113, 453

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

2 x 7 x 59 x 484 x 53 x 113 x 453 = 1084620788328

Therefore, the lowest common multiple of 826,968,371,791,453 is 1084620788328.

LCM Formula to Find Lowest Common Multiple of 826,968,371,791,453

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.

826 x 968 x 371 x 791 x 453 = 106292837256144

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.

826 : 1, 2, 7, 14, 59, 118, 413, 826

968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

371 : 1, 7, 53, 371

791 : 1, 7, 113, 791

453 : 1, 3, 151, 453

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 826,968,371,791,453, is 1.

Now, the common factors can be found like this.

826:2x 7x 59

968:2x 2x 2x 11x 11

371:7x 53

791:7x 113

453:3x 151

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

2x 7x 7 = 98

Therefore, the value for common factors is 98.

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 = 106292837256144/(1x98)

LCM = 106292837256144/98

LCM = 1084620788328

Thus, we can understand that the LCM of 826,968,371,791,453 is 1084620788328.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 826, 968, 371, 791, 453

1. What is the LCM of 826, 968, 371, 791, 453?

Answer: LCM of 826, 968, 371, 791, 453 is 1084620788328.

2. How to calculate the LCM of 826, 968, 371, 791, 453?

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 826, 968, 371, 791, 453.

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}.