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LCM of 173, 961, 429, 104

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


Find the LCM of 173, 961, 429, 104 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 173, 961, 429, 104. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 173,961,429,104

Given numbers are 173,961,429,104

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

The LCM of 173,961,429,104 is 570580296.

Find LCM of 173,961,429,104 with Prime Factorization


13 173, 961, 429, 104
173, 961, 33, 8

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

13 x 173 x 961 x 33 x 8 = 570580296

Therefore, the lowest common multiple of 173,961,429,104 is 570580296.

LCM Formula to Find Lowest Common Multiple of 173,961,429,104

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.

173 x 961 x 429 x 104 = 7417543848

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.

173 : 1, 173

961 : 1, 31, 961

429 : 1, 3, 11, 13, 33, 39, 143, 429

104 : 1, 2, 4, 8, 13, 26, 52, 104

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 173,961,429,104, is 1.

Now, the common factors can be found like this.

173:173

961:31x 31

429:3x 11x 13

104:2x 2x 2x 13

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

13 = 13

Therefore, the value for common factors is 13.

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 = 7417543848/(1x13)

LCM = 7417543848/13

LCM = 570580296

Thus, we can understand that the LCM of 173,961,429,104 is 570580296.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 173, 961, 429, 104

1. What is the LCM of 173, 961, 429, 104?

Answer: LCM of 173, 961, 429, 104 is 570580296.

2. How to calculate the LCM of 173, 961, 429, 104?

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 173, 961, 429, 104.

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}.