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LCM of 797, 702, 501, 871

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


Find the LCM of 797, 702, 501, 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 797, 702, 501, 871. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 797,702,501,871

Given numbers are 797,702,501,871

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

The LCM of 797,702,501,871 is 6260178366.

Find LCM of 797,702,501,871 with Prime Factorization


3 797, 702, 501, 871
13 797, 234, 167, 871
797, 18, 167, 67

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

3 x 13 x 797 x 18 x 167 x 67 = 6260178366

Therefore, the lowest common multiple of 797,702,501,871 is 6260178366.

LCM Formula to Find Lowest Common Multiple of 797,702,501,871

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.

797 x 702 x 501 x 871 = 244146956274

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.

797 : 1, 797

702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

501 : 1, 3, 167, 501

871 : 1, 13, 67, 871

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 797,702,501,871, is 1.

Now, the common factors can be found like this.

797:797

702:2x 3x 3x 3x 13

501:3x 167

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 13 = 39

Therefore, the value for common factors is 39.

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 = 244146956274/(1x39)

LCM = 244146956274/39

LCM = 6260178366

Thus, we can understand that the LCM of 797,702,501,871 is 6260178366.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 797, 702, 501, 871

1. What is the LCM of 797, 702, 501, 871?

Answer: LCM of 797, 702, 501, 871 is 6260178366.

2. How to calculate the LCM of 797, 702, 501, 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 797, 702, 501, 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}.