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LCM of 836, 517, 269, 429, 235

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


Find the LCM of 836, 517, 269, 429, 235 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 836, 517, 269, 429, 235. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 836,517,269,429,235

Given numbers are 836,517,269,429,235

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

The LCM of 836,517,269,429,235 is 2061061860.

Find LCM of 836,517,269,429,235 with Prime Factorization


11 836, 517, 269, 429, 235
47 76, 47, 269, 39, 235
76, 1, 269, 39, 5

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

11 x 47 x 76 x 1 x 269 x 39 x 5 = 2061061860

Therefore, the lowest common multiple of 836,517,269,429,235 is 2061061860.

LCM Formula to Find Lowest Common Multiple of 836,517,269,429,235

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.

836 x 517 x 269 x 429 x 235 = 11721258797820

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.

836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

517 : 1, 11, 47, 517

269 : 1, 269

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

235 : 1, 5, 47, 235

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 836,517,269,429,235, is 1.

Now, the common factors can be found like this.

836:2x 2x 11x 19

517:11x 47

269:269

429:3x 11x 13

235:5x 47

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

11x 11x 47 = 5687

Therefore, the value for common factors is 5687.

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 = 11721258797820/(1x5687)

LCM = 11721258797820/5687

LCM = 2061061860

Thus, we can understand that the LCM of 836,517,269,429,235 is 2061061860.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 836, 517, 269, 429, 235

1. What is the LCM of 836, 517, 269, 429, 235?

Answer: LCM of 836, 517, 269, 429, 235 is 2061061860.

2. How to calculate the LCM of 836, 517, 269, 429, 235?

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 836, 517, 269, 429, 235.

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}.