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LCM of 858, 305, 494, 269

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


Find the LCM of 858, 305, 494, 269 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 858, 305, 494, 269. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 858,305,494,269

Given numbers are 858,305,494,269

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

The LCM of 858,305,494,269 is 1337497590.

Find LCM of 858,305,494,269 with Prime Factorization


2 858, 305, 494, 269
13 429, 305, 247, 269
33, 305, 19, 269

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

2 x 13 x 33 x 305 x 19 x 269 = 1337497590

Therefore, the lowest common multiple of 858,305,494,269 is 1337497590.

LCM Formula to Find Lowest Common Multiple of 858,305,494,269

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.

858 x 305 x 494 x 269 = 34774937340

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.

858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

305 : 1, 5, 61, 305

494 : 1, 2, 13, 19, 26, 38, 247, 494

269 : 1, 269

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 858,305,494,269, is 1.

Now, the common factors can be found like this.

858:2x 3x 11x 13

305:5x 61

494:2x 13x 19

269:269

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

2x 13 = 26

Therefore, the value for common factors is 26.

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 = 34774937340/(1x26)

LCM = 34774937340/26

LCM = 1337497590

Thus, we can understand that the LCM of 858,305,494,269 is 1337497590.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 858, 305, 494, 269

1. What is the LCM of 858, 305, 494, 269?

Answer: LCM of 858, 305, 494, 269 is 1337497590.

2. How to calculate the LCM of 858, 305, 494, 269?

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 858, 305, 494, 269.

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}.