LCM of 945, 860, 139, 817, 815
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 945, 860, 139, 817, 815 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 945, 860, 139, 817, 815. So, keep reading to learn more.
Given numbers are 945,860,139,817,815
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 945,860,139,817,815 is 69970706820.
Find LCM of 945,860,139,817,815 with Prime Factorization
| 5 | 945, 860, 139, 817, 815 |
| 43 | 189, 172, 139, 817, 163 |
| 189, 4, 139, 19, 163 |
Multiply the prime numbers at the bottom and the left side.
5 x 43 x 189 x 4 x 139 x 19 x 163 = 69970706820
Therefore, the lowest common multiple of 945,860,139,817,815 is 69970706820.
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.
945 x 860 x 139 x 817 x 815 = 75218509831500
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.
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
139 : 1, 139
817 : 1, 19, 43, 817
815 : 1, 5, 163, 815
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 945,860,139,817,815, is 1.
Now, the common factors can be found like this.
945:3x 3x 3x 5x 7
860:2x 2x 5x 43
139:139
817:19x 43
815:5x 163
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 5x 43 = 1075
Therefore, the value for common factors is 1075.
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 = 75218509831500/(1x1075)
LCM = 75218509831500/1075
LCM = 69970706820
Thus, we can understand that the LCM of 945,860,139,817,815 is 69970706820.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 945, 860, 139, 817, 815
1. What is the LCM of 945, 860, 139, 817, 815?
Answer: LCM of 945, 860, 139, 817, 815 is 69970706820.
2. How to calculate the LCM of 945, 860, 139, 817, 815?
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 945, 860, 139, 817, 815.
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}.