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LCM of 221, 323, 493, 692

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


Find the LCM of 221, 323, 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 221, 323, 493, 692. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 221,323,493,692

Given numbers are 221,323,493,692

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

The LCM of 221,323,493,692 is 84265532.

Find LCM of 221,323,493,692 with Prime Factorization


17 221, 323, 493, 692
13, 19, 29, 692

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

17 x 13 x 19 x 29 x 692 = 84265532

Therefore, the lowest common multiple of 221,323,493,692 is 84265532.

LCM Formula to Find Lowest Common Multiple of 221,323,493,692

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.

221 x 323 x 493 x 692 = 24352738748

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.

221 : 1, 13, 17, 221

323 : 1, 17, 19, 323

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 221,323,493,692, is 1.

Now, the common factors can be found like this.

221:13x 17

323:17x 19

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 17 = 289

Therefore, the value for common factors is 289.

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 = 24352738748/(1x289)

LCM = 24352738748/289

LCM = 84265532

Thus, we can understand that the LCM of 221,323,493,692 is 84265532.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 221, 323, 493, 692

1. What is the LCM of 221, 323, 493, 692?

Answer: LCM of 221, 323, 493, 692 is 84265532.

2. How to calculate the LCM of 221, 323, 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 221, 323, 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}.