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LCM of 642, 321, 375, 871

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


Find the LCM of 642, 321, 375, 871 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 642, 321, 375, 871. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 642,321,375,871

Given numbers are 642,321,375,871

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

The LCM of 642,321,375,871 is 69897750.

Find LCM of 642,321,375,871 with Prime Factorization


3 642, 321, 375, 871
107 214, 107, 125, 871
2, 1, 125, 871

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

3 x 107 x 2 x 1 x 125 x 871 = 69897750

Therefore, the lowest common multiple of 642,321,375,871 is 69897750.

LCM Formula to Find Lowest Common Multiple of 642,321,375,871

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.

642 x 321 x 375 x 871 = 67311533250

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.

642 : 1, 2, 3, 6, 107, 214, 321, 642

321 : 1, 3, 107, 321

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

871 : 1, 13, 67, 871

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 642,321,375,871, is 1.

Now, the common factors can be found like this.

642:2x 3x 107

321:3x 107

375:3x 5x 5x 5

871:13x 67

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

3x 3x 107 = 963

Therefore, the value for common factors is 963.

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 = 67311533250/(1x963)

LCM = 67311533250/963

LCM = 69897750

Thus, we can understand that the LCM of 642,321,375,871 is 69897750.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 642, 321, 375, 871

1. What is the LCM of 642, 321, 375, 871?

Answer: LCM of 642, 321, 375, 871 is 69897750.

2. How to calculate the LCM of 642, 321, 375, 871?

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 642, 321, 375, 871.

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}.