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LCM of 875, 349, 541, 855

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


Find the LCM of 875, 349, 541, 855 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 875, 349, 541, 855. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 875,349,541,855

Given numbers are 875,349,541,855

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

The LCM of 875,349,541,855 is 28250546625.

Find LCM of 875,349,541,855 with Prime Factorization


5 875, 349, 541, 855
175, 349, 541, 171

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

5 x 175 x 349 x 541 x 171 = 28250546625

Therefore, the lowest common multiple of 875,349,541,855 is 28250546625.

LCM Formula to Find Lowest Common Multiple of 875,349,541,855

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.

875 x 349 x 541 x 855 = 141252733125

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.

875 : 1, 5, 7, 25, 35, 125, 175, 875

349 : 1, 349

541 : 1, 541

855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 875,349,541,855, is 1.

Now, the common factors can be found like this.

875:5x 5x 5x 7

349:349

541:541

855:3x 3x 5x 19

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

5 = 5

Therefore, the value for common factors is 5.

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 = 141252733125/(1x5)

LCM = 141252733125/5

LCM = 28250546625

Thus, we can understand that the LCM of 875,349,541,855 is 28250546625.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 875, 349, 541, 855

1. What is the LCM of 875, 349, 541, 855?

Answer: LCM of 875, 349, 541, 855 is 28250546625.

2. How to calculate the LCM of 875, 349, 541, 855?

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 875, 349, 541, 855.

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}.