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LCM of 832, 269, 361, 981, 842

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


Find the LCM of 832, 269, 361, 981, 842 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 832, 269, 361, 981, 842. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 832,269,361,981,842

Given numbers are 832,269,361,981,842

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

The LCM of 832,269,361,981,842 is 33368286938688.

Find LCM of 832,269,361,981,842 with Prime Factorization


2 832, 269, 361, 981, 842
416, 269, 361, 981, 421

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

2 x 416 x 269 x 361 x 981 x 421 = 33368286938688

Therefore, the lowest common multiple of 832,269,361,981,842 is 33368286938688.

LCM Formula to Find Lowest Common Multiple of 832,269,361,981,842

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.

832 x 269 x 361 x 981 x 842 = 66736573877376

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.

832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

269 : 1, 269

361 : 1, 19, 361

981 : 1, 3, 9, 109, 327, 981

842 : 1, 2, 421, 842

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 832,269,361,981,842, is 1.

Now, the common factors can be found like this.

832:2x 2x 2x 2x 2x 2x 13

269:269

361:19x 19

981:3x 3x 109

842:2x 421

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

2 = 2

Therefore, the value for common factors is 2.

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 = 66736573877376/(1x2)

LCM = 66736573877376/2

LCM = 33368286938688

Thus, we can understand that the LCM of 832,269,361,981,842 is 33368286938688.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 832, 269, 361, 981, 842

1. What is the LCM of 832, 269, 361, 981, 842?

Answer: LCM of 832, 269, 361, 981, 842 is 33368286938688.

2. How to calculate the LCM of 832, 269, 361, 981, 842?

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 832, 269, 361, 981, 842.

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}.