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LCM of 845, 314, 565, 185

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


Find the LCM of 845, 314, 565, 185 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 845, 314, 565, 185. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 845,314,565,185

Given numbers are 845,314,565,185

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

The LCM of 845,314,565,185 is 1109344730.

Find LCM of 845,314,565,185 with Prime Factorization


5 845, 314, 565, 185
169, 314, 113, 37

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

5 x 169 x 314 x 113 x 37 = 1109344730

Therefore, the lowest common multiple of 845,314,565,185 is 1109344730.

LCM Formula to Find Lowest Common Multiple of 845,314,565,185

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.

845 x 314 x 565 x 185 = 27733618250

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.

845 : 1, 5, 13, 65, 169, 845

314 : 1, 2, 157, 314

565 : 1, 5, 113, 565

185 : 1, 5, 37, 185

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 845,314,565,185, is 1.

Now, the common factors can be found like this.

845:5x 13x 13

314:2x 157

565:5x 113

185:5x 37

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

5x 5 = 25

Therefore, the value for common factors is 25.

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 = 27733618250/(1x25)

LCM = 27733618250/25

LCM = 1109344730

Thus, we can understand that the LCM of 845,314,565,185 is 1109344730.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 845, 314, 565, 185

1. What is the LCM of 845, 314, 565, 185?

Answer: LCM of 845, 314, 565, 185 is 1109344730.

2. How to calculate the LCM of 845, 314, 565, 185?

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 845, 314, 565, 185.

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}.