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LCM of 845, 989, 460, 599

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


Find the LCM of 845, 989, 460, 599 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, 989, 460, 599. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 845,989,460,599

Given numbers are 845,989,460,599

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

The LCM of 845,989,460,599 is 2002349180.

Find LCM of 845,989,460,599 with Prime Factorization


5 845, 989, 460, 599
23 169, 989, 92, 599
169, 43, 4, 599

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

5 x 23 x 169 x 43 x 4 x 599 = 2002349180

Therefore, the lowest common multiple of 845,989,460,599 is 2002349180.

LCM Formula to Find Lowest Common Multiple of 845,989,460,599

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 989 x 460 x 599 = 230270155700

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

989 : 1, 23, 43, 989

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

599 : 1, 599

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 845,989,460,599, is 1.

Now, the common factors can be found like this.

845:5x 13x 13

989:23x 43

460:2x 2x 5x 23

599:599

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

5x 23 = 115

Therefore, the value for common factors is 115.

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 = 230270155700/(1x115)

LCM = 230270155700/115

LCM = 2002349180

Thus, we can understand that the LCM of 845,989,460,599 is 2002349180.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 845, 989, 460, 599

1. What is the LCM of 845, 989, 460, 599?

Answer: LCM of 845, 989, 460, 599 is 2002349180.

2. How to calculate the LCM of 845, 989, 460, 599?

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, 989, 460, 599.

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}.