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LCM of 709, 871, 169, 522

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


Find the LCM of 709, 871, 169, 522 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 709, 871, 169, 522. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 709,871,169,522

Given numbers are 709,871,169,522

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

The LCM of 709,871,169,522 is 4190619654.

Find LCM of 709,871,169,522 with Prime Factorization


13 709, 871, 169, 522
709, 67, 13, 522

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

13 x 709 x 67 x 13 x 522 = 4190619654

Therefore, the lowest common multiple of 709,871,169,522 is 4190619654.

LCM Formula to Find Lowest Common Multiple of 709,871,169,522

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.

709 x 871 x 169 x 522 = 54478055502

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.

709 : 1, 709

871 : 1, 13, 67, 871

169 : 1, 13, 169

522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 709,871,169,522, is 1.

Now, the common factors can be found like this.

709:709

871:13x 67

169:13x 13

522:2x 3x 3x 29

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

13 = 13

Therefore, the value for common factors is 13.

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 = 54478055502/(1x13)

LCM = 54478055502/13

LCM = 4190619654

Thus, we can understand that the LCM of 709,871,169,522 is 4190619654.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 709, 871, 169, 522

1. What is the LCM of 709, 871, 169, 522?

Answer: LCM of 709, 871, 169, 522 is 4190619654.

2. How to calculate the LCM of 709, 871, 169, 522?

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 709, 871, 169, 522.

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}.