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LCM of 415, 429, 988, 332, 692

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


Find the LCM of 415, 429, 988, 332, 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 415, 429, 988, 332, 692. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 415,429,988,332,692

Given numbers are 415,429,988,332,692

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

The LCM of 415,429,988,332,692 is 2340804180.

Find LCM of 415,429,988,332,692 with Prime Factorization


2 415, 429, 988, 332, 692
2 415, 429, 494, 166, 346
13 415, 429, 247, 83, 173
83 415, 33, 19, 83, 173
5, 33, 19, 1, 173

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

2 x 2 x 13 x 83 x 5 x 33 x 19 x 1 x 173 = 2340804180

Therefore, the lowest common multiple of 415,429,988,332,692 is 2340804180.

LCM Formula to Find Lowest Common Multiple of 415,429,988,332,692

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.

415 x 429 x 988 x 332 x 692 = 40411643363520

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.

415 : 1, 5, 83, 415

429 : 1, 3, 11, 13, 33, 39, 143, 429

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

332 : 1, 2, 4, 83, 166, 332

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 415,429,988,332,692, is 1.

Now, the common factors can be found like this.

415:5x 83

429:3x 11x 13

988:2x 2x 13x 19

332:2x 2x 83

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.

2x 2x 2x 2x 13x 83 = 17264

Therefore, the value for common factors is 17264.

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 = 40411643363520/(1x17264)

LCM = 40411643363520/17264

LCM = 2340804180

Thus, we can understand that the LCM of 415,429,988,332,692 is 2340804180.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 415, 429, 988, 332, 692

1. What is the LCM of 415, 429, 988, 332, 692?

Answer: LCM of 415, 429, 988, 332, 692 is 2340804180.

2. How to calculate the LCM of 415, 429, 988, 332, 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 415, 429, 988, 332, 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}.