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LCM of 865, 904, 173, 557

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


Find the LCM of 865, 904, 173, 557 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 865, 904, 173, 557. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 865,904,173,557

Given numbers are 865,904,173,557

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

The LCM of 865,904,173,557 is 435551720.

Find LCM of 865,904,173,557 with Prime Factorization


173 865, 904, 173, 557
5, 904, 1, 557

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

173 x 5 x 904 x 1 x 557 = 435551720

Therefore, the lowest common multiple of 865,904,173,557 is 435551720.

LCM Formula to Find Lowest Common Multiple of 865,904,173,557

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.

865 x 904 x 173 x 557 = 75350447560

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.

865 : 1, 5, 173, 865

904 : 1, 2, 4, 8, 113, 226, 452, 904

173 : 1, 173

557 : 1, 557

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 865,904,173,557, is 1.

Now, the common factors can be found like this.

865:5x 173

904:2x 2x 2x 113

173:173

557:557

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

173 = 173

Therefore, the value for common factors is 173.

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 = 75350447560/(1x173)

LCM = 75350447560/173

LCM = 435551720

Thus, we can understand that the LCM of 865,904,173,557 is 435551720.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 865, 904, 173, 557

1. What is the LCM of 865, 904, 173, 557?

Answer: LCM of 865, 904, 173, 557 is 435551720.

2. How to calculate the LCM of 865, 904, 173, 557?

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 865, 904, 173, 557.

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}.