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LCM of 174, 641, 422, 129, 696

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


Find the LCM of 174, 641, 422, 129, 696 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 174, 641, 422, 129, 696. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 174,641,422,129,696

Given numbers are 174,641,422,129,696

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

The LCM of 174,641,422,129,696 is 4047791928.

Find LCM of 174,641,422,129,696 with Prime Factorization


2 174, 641, 422, 129, 696
3 87, 641, 211, 129, 348
29 29, 641, 211, 43, 116
1, 641, 211, 43, 4

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

2 x 3 x 29 x 1 x 641 x 211 x 43 x 4 = 4047791928

Therefore, the lowest common multiple of 174,641,422,129,696 is 4047791928.

LCM Formula to Find Lowest Common Multiple of 174,641,422,129,696

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.

174 x 641 x 422 x 129 x 696 = 4225894772832

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.

174 : 1, 2, 3, 6, 29, 58, 87, 174

641 : 1, 641

422 : 1, 2, 211, 422

129 : 1, 3, 43, 129

696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 174,641,422,129,696, is 1.

Now, the common factors can be found like this.

174:2x 3x 29

641:641

422:2x 211

129:3x 43

696:2x 2x 2x 3x 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 2x 3x 3x 29 = 1044

Therefore, the value for common factors is 1044.

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 = 4225894772832/(1x1044)

LCM = 4225894772832/1044

LCM = 4047791928

Thus, we can understand that the LCM of 174,641,422,129,696 is 4047791928.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 174, 641, 422, 129, 696

1. What is the LCM of 174, 641, 422, 129, 696?

Answer: LCM of 174, 641, 422, 129, 696 is 4047791928.

2. How to calculate the LCM of 174, 641, 422, 129, 696?

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 174, 641, 422, 129, 696.

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}.