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LCM of 875, 364, 311, 845

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


Find the LCM of 875, 364, 311, 845 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, 364, 311, 845. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 875,364,311,845

Given numbers are 875,364,311,845

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

The LCM of 875,364,311,845 is 183956500.

Find LCM of 875,364,311,845 with Prime Factorization


5 875, 364, 311, 845
7 175, 364, 311, 169
13 25, 52, 311, 169
25, 4, 311, 13

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

5 x 7 x 13 x 25 x 4 x 311 x 13 = 183956500

Therefore, the lowest common multiple of 875,364,311,845 is 183956500.

LCM Formula to Find Lowest Common Multiple of 875,364,311,845

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 364 x 311 x 845 = 83700207500

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

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

311 : 1, 311

845 : 1, 5, 13, 65, 169, 845

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 875,364,311,845, is 1.

Now, the common factors can be found like this.

875:5x 5x 5x 7

364:2x 2x 7x 13

311:311

845:5x 13x 13

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

5x 7x 13 = 455

Therefore, the value for common factors is 455.

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 = 83700207500/(1x455)

LCM = 83700207500/455

LCM = 183956500

Thus, we can understand that the LCM of 875,364,311,845 is 183956500.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 875, 364, 311, 845

1. What is the LCM of 875, 364, 311, 845?

Answer: LCM of 875, 364, 311, 845 is 183956500.

2. How to calculate the LCM of 875, 364, 311, 845?

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, 364, 311, 845.

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}.