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LCM of 831, 734, 514, 429, 340

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


Find the LCM of 831, 734, 514, 429, 340 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 831, 734, 514, 429, 340. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 831,734,514,429,340

Given numbers are 831,734,514,429,340

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

The LCM of 831,734,514,429,340 is 3810791307180.

Find LCM of 831,734,514,429,340 with Prime Factorization


2 831, 734, 514, 429, 340
3 831, 367, 257, 429, 170
277, 367, 257, 143, 170

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

2 x 3 x 277 x 367 x 257 x 143 x 170 = 3810791307180

Therefore, the lowest common multiple of 831,734,514,429,340 is 3810791307180.

LCM Formula to Find Lowest Common Multiple of 831,734,514,429,340

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.

831 x 734 x 514 x 429 x 340 = 45729495686160

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.

831 : 1, 3, 277, 831

734 : 1, 2, 367, 734

514 : 1, 2, 257, 514

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

340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 831,734,514,429,340, is 1.

Now, the common factors can be found like this.

831:3x 277

734:2x 367

514:2x 257

429:3x 11x 13

340:2x 2x 5x 17

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 3 = 12

Therefore, the value for common factors is 12.

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 = 45729495686160/(1x12)

LCM = 45729495686160/12

LCM = 3810791307180

Thus, we can understand that the LCM of 831,734,514,429,340 is 3810791307180.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 831, 734, 514, 429, 340

1. What is the LCM of 831, 734, 514, 429, 340?

Answer: LCM of 831, 734, 514, 429, 340 is 3810791307180.

2. How to calculate the LCM of 831, 734, 514, 429, 340?

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 831, 734, 514, 429, 340.

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}.