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LCM of 871, 375, 403, 240

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


Find the LCM of 871, 375, 403, 240 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 871, 375, 403, 240. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 871,375,403,240

Given numbers are 871,375,403,240

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

The LCM of 871,375,403,240 is 162006000.

Find LCM of 871,375,403,240 with Prime Factorization


3 871, 375, 403, 240
5 871, 125, 403, 80
13 871, 25, 403, 16
67, 25, 31, 16

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

3 x 5 x 13 x 67 x 25 x 31 x 16 = 162006000

Therefore, the lowest common multiple of 871,375,403,240 is 162006000.

LCM Formula to Find Lowest Common Multiple of 871,375,403,240

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.

871 x 375 x 403 x 240 = 31591170000

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.

871 : 1, 13, 67, 871

375 : 1, 3, 5, 15, 25, 75, 125, 375

403 : 1, 13, 31, 403

240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 871,375,403,240, is 1.

Now, the common factors can be found like this.

871:13x 67

375:3x 5x 5x 5

403:13x 31

240:2x 2x 2x 2x 3x 5

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

3x 5x 13 = 195

Therefore, the value for common factors is 195.

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 = 31591170000/(1x195)

LCM = 31591170000/195

LCM = 162006000

Thus, we can understand that the LCM of 871,375,403,240 is 162006000.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 871, 375, 403, 240

1. What is the LCM of 871, 375, 403, 240?

Answer: LCM of 871, 375, 403, 240 is 162006000.

2. How to calculate the LCM of 871, 375, 403, 240?

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 871, 375, 403, 240.

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}.