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LCM of 692, 986, 171, 173

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


Find the LCM of 692, 986, 171, 173 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 692, 986, 171, 173. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 692,986,171,173

Given numbers are 692,986,171,173

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

The LCM of 692,986,171,173 is 58337676.

Find LCM of 692,986,171,173 with Prime Factorization


2 692, 986, 171, 173
173 346, 493, 171, 173
2, 493, 171, 1

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

2 x 173 x 2 x 493 x 171 x 1 = 58337676

Therefore, the lowest common multiple of 692,986,171,173 is 58337676.

LCM Formula to Find Lowest Common Multiple of 692,986,171,173

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.

692 x 986 x 171 x 173 = 20184835896

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.

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

986 : 1, 2, 17, 29, 34, 58, 493, 986

171 : 1, 3, 9, 19, 57, 171

173 : 1, 173

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 692,986,171,173, is 1.

Now, the common factors can be found like this.

692:2x 2x 173

986:2x 17x 29

171:3x 3x 19

173:173

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

2x 173 = 346

Therefore, the value for common factors is 346.

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 = 20184835896/(1x346)

LCM = 20184835896/346

LCM = 58337676

Thus, we can understand that the LCM of 692,986,171,173 is 58337676.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 692, 986, 171, 173

1. What is the LCM of 692, 986, 171, 173?

Answer: LCM of 692, 986, 171, 173 is 58337676.

2. How to calculate the LCM of 692, 986, 171, 173?

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 692, 986, 171, 173.

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}.