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LCM of 173, 502, 502, 941, 425

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


Find the LCM of 173, 502, 502, 941, 425 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, 502, 502, 941, 425. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 173,502,502,941,425

Given numbers are 173,502,502,941,425

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

The LCM of 173,502,502,941,425 is 34731886550.

Find LCM of 173,502,502,941,425 with Prime Factorization


2 173, 502, 502, 941, 425
251 173, 251, 251, 941, 425
173, 1, 1, 941, 425

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

2 x 251 x 173 x 1 x 1 x 941 x 425 = 34731886550

Therefore, the lowest common multiple of 173,502,502,941,425 is 34731886550.

LCM Formula to Find Lowest Common Multiple of 173,502,502,941,425

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 502 x 502 x 941 x 425 = 17435407048100

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

502 : 1, 2, 251, 502

502 : 1, 2, 251, 502

941 : 1, 941

425 : 1, 5, 17, 25, 85, 425

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 173,502,502,941,425, is 1.

Now, the common factors can be found like this.

173:173

502:2x 251

502:2x 251

941:941

425:5x 5x 17

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

2x 251 = 502

Therefore, the value for common factors is 502.

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 = 17435407048100/(1x502)

LCM = 17435407048100/502

LCM = 34731886550

Thus, we can understand that the LCM of 173,502,502,941,425 is 34731886550.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 173, 502, 502, 941, 425

1. What is the LCM of 173, 502, 502, 941, 425?

Answer: LCM of 173, 502, 502, 941, 425 is 34731886550.

2. How to calculate the LCM of 173, 502, 502, 941, 425?

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, 502, 502, 941, 425.

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}.