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LCM of 613, 796, 366, 366, 429

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


Find the LCM of 613, 796, 366, 366, 429 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 613, 796, 366, 366, 429. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 613,796,366,366,429

Given numbers are 613,796,366,366,429

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

The LCM of 613,796,366,366,429 is 12769111212.

Find LCM of 613,796,366,366,429 with Prime Factorization


2 613, 796, 366, 366, 429
3 613, 398, 183, 183, 429
61 613, 398, 61, 61, 143
613, 398, 1, 1, 143

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

2 x 3 x 61 x 613 x 398 x 1 x 1 x 143 = 12769111212

Therefore, the lowest common multiple of 613,796,366,366,429 is 12769111212.

LCM Formula to Find Lowest Common Multiple of 613,796,366,366,429

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.

613 x 796 x 366 x 366 x 429 = 28040968221552

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.

613 : 1, 613

796 : 1, 2, 4, 199, 398, 796

366 : 1, 2, 3, 6, 61, 122, 183, 366

366 : 1, 2, 3, 6, 61, 122, 183, 366

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 613,796,366,366,429, is 1.

Now, the common factors can be found like this.

613:613

796:2x 2x 199

366:2x 3x 61

366:2x 3x 61

429:3x 11x 13

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 3x 3x 61 = 2196

Therefore, the value for common factors is 2196.

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 = 28040968221552/(1x2196)

LCM = 28040968221552/2196

LCM = 12769111212

Thus, we can understand that the LCM of 613,796,366,366,429 is 12769111212.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 613, 796, 366, 366, 429

1. What is the LCM of 613, 796, 366, 366, 429?

Answer: LCM of 613, 796, 366, 366, 429 is 12769111212.

2. How to calculate the LCM of 613, 796, 366, 366, 429?

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 613, 796, 366, 366, 429.

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}.