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LCM of 165, 671, 414, 854, 103

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


Find the LCM of 165, 671, 414, 854, 103 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 165, 671, 414, 854, 103. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 165,671,414,854,103

Given numbers are 165,671,414,854,103

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

The LCM of 165,671,414,854,103 is 1001447370.

Find LCM of 165,671,414,854,103 with Prime Factorization


2 165, 671, 414, 854, 103
3 165, 671, 207, 427, 103
11 55, 671, 69, 427, 103
61 5, 61, 69, 427, 103
5, 1, 69, 7, 103

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

2 x 3 x 11 x 61 x 5 x 1 x 69 x 7 x 103 = 1001447370

Therefore, the lowest common multiple of 165,671,414,854,103 is 1001447370.

LCM Formula to Find Lowest Common Multiple of 165,671,414,854,103

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.

165 x 671 x 414 x 854 x 103 = 4031827111620

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.

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

671 : 1, 11, 61, 671

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

854 : 1, 2, 7, 14, 61, 122, 427, 854

103 : 1, 103

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 165,671,414,854,103, is 1.

Now, the common factors can be found like this.

165:3x 5x 11

671:11x 61

414:2x 3x 3x 23

854:2x 7x 61

103:103

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

2x 3x 11x 61 = 4026

Therefore, the value for common factors is 4026.

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 = 4031827111620/(1x4026)

LCM = 4031827111620/4026

LCM = 1001447370

Thus, we can understand that the LCM of 165,671,414,854,103 is 1001447370.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 165, 671, 414, 854, 103

1. What is the LCM of 165, 671, 414, 854, 103?

Answer: LCM of 165, 671, 414, 854, 103 is 1001447370.

2. How to calculate the LCM of 165, 671, 414, 854, 103?

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 165, 671, 414, 854, 103.

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}.