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LCM of 529, 391, 493, 692

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


Find the LCM of 529, 391, 493, 692 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 529, 391, 493, 692. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 529,391,493,692

Given numbers are 529,391,493,692

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

The LCM of 529,391,493,692 is 180471524.

Find LCM of 529,391,493,692 with Prime Factorization


17 529, 391, 493, 692
23 529, 23, 29, 692
1, 23, 29, 692

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

17 x 23 x 1 x 23 x 29 x 692 = 180471524

Therefore, the lowest common multiple of 529,391,493,692 is 180471524.

LCM Formula to Find Lowest Common Multiple of 529,391,493,692

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.

529 x 391 x 493 x 692 = 70564365884

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.

529 : 1, 23, 529

391 : 1, 17, 23, 391

493 : 1, 17, 29, 493

692 : 1, 2, 4, 173, 346, 692

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 529,391,493,692, is 1.

Now, the common factors can be found like this.

529:23x 23

391:17x 23

493:17x 29

692:2x 2x 173

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

17x 23 = 391

Therefore, the value for common factors is 391.

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 = 70564365884/(1x391)

LCM = 70564365884/391

LCM = 180471524

Thus, we can understand that the LCM of 529,391,493,692 is 180471524.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 529, 391, 493, 692

1. What is the LCM of 529, 391, 493, 692?

Answer: LCM of 529, 391, 493, 692 is 180471524.

2. How to calculate the LCM of 529, 391, 493, 692?

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 529, 391, 493, 692.

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}.