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LCM of 156, 374, 695, 722, 841

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


Find the LCM of 156, 374, 695, 722, 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 156, 374, 695, 722, 841. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 156,374,695,722,841

Given numbers are 156,374,695,722,841

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

The LCM of 156,374,695,722,841 is 6155370618540.

Find LCM of 156,374,695,722,841 with Prime Factorization


2 156, 374, 695, 722, 841
78, 187, 695, 361, 841

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

2 x 78 x 187 x 695 x 361 x 841 = 6155370618540

Therefore, the lowest common multiple of 156,374,695,722,841 is 6155370618540.

LCM Formula to Find Lowest Common Multiple of 156,374,695,722,841

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.

156 x 374 x 695 x 722 x 841 = 24621482474160

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.

156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

374 : 1, 2, 11, 17, 22, 34, 187, 374

695 : 1, 5, 139, 695

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

841 : 1, 29, 841

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 156,374,695,722,841, is 1.

Now, the common factors can be found like this.

156:2x 2x 3x 13

374:2x 11x 17

695:5x 139

722:2x 19x 19

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 2 = 4

Therefore, the value for common factors is 4.

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 = 24621482474160/(1x4)

LCM = 24621482474160/4

LCM = 6155370618540

Thus, we can understand that the LCM of 156,374,695,722,841 is 6155370618540.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 156, 374, 695, 722, 841

1. What is the LCM of 156, 374, 695, 722, 841?

Answer: LCM of 156, 374, 695, 722, 841 is 6155370618540.

2. How to calculate the LCM of 156, 374, 695, 722, 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 156, 374, 695, 722, 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}.