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LCM of 682, 545, 122, 165, 841

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


Find the LCM of 682, 545, 122, 165, 841 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, 545, 122, 165, 841. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 682,545,122,165,841

Given numbers are 682,545,122,165,841

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

The LCM of 682,545,122,165,841 is 57204206070.

Find LCM of 682,545,122,165,841 with Prime Factorization


2 682, 545, 122, 165, 841
5 341, 545, 61, 165, 841
11 341, 109, 61, 33, 841
31, 109, 61, 3, 841

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

2 x 5 x 11 x 31 x 109 x 61 x 3 x 841 = 57204206070

Therefore, the lowest common multiple of 682,545,122,165,841 is 57204206070.

LCM Formula to Find Lowest Common Multiple of 682,545,122,165,841

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 545 x 122 x 165 x 841 = 6292462667700

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

545 : 1, 5, 109, 545

122 : 1, 2, 61, 122

165 : 1, 3, 5, 11, 15, 33, 55, 165

841 : 1, 29, 841

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 682,545,122,165,841, is 1.

Now, the common factors can be found like this.

682:2x 11x 31

545:5x 109

122:2x 61

165:3x 5x 11

841:29x 29

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

2x 5x 11 = 110

Therefore, the value for common factors is 110.

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 = 6292462667700/(1x110)

LCM = 6292462667700/110

LCM = 57204206070

Thus, we can understand that the LCM of 682,545,122,165,841 is 57204206070.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 682, 545, 122, 165, 841

1. What is the LCM of 682, 545, 122, 165, 841?

Answer: LCM of 682, 545, 122, 165, 841 is 57204206070.

2. How to calculate the LCM of 682, 545, 122, 165, 841?

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, 545, 122, 165, 841.

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}.