LCM of 995, 690, 180, 209
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 995, 690, 180, 209 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 995, 690, 180, 209. So, keep reading to learn more.
Given numbers are 995,690,180,209
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 995,690,180,209 is 172186740.
Find LCM of 995,690,180,209 with Prime Factorization
| 2 | 995, 690, 180, 209 |
| 3 | 995, 345, 90, 209 |
| 5 | 995, 115, 30, 209 |
| 199, 23, 6, 209 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 199 x 23 x 6 x 209 = 172186740
Therefore, the lowest common multiple of 995,690,180,209 is 172186740.
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.
995 x 690 x 180 x 209 = 25828011000
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.
995 : 1, 5, 199, 995
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
209 : 1, 11, 19, 209
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 995,690,180,209, is 1.
Now, the common factors can be found like this.
995:5x 199
690:2x 3x 5x 23
180:2x 2x 3x 3x 5
209:11x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5x 5 = 150
Therefore, the value for common factors is 150.
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 = 25828011000/(1x150)
LCM = 25828011000/150
LCM = 172186740
Thus, we can understand that the LCM of 995,690,180,209 is 172186740.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 995, 690, 180, 209
1. What is the LCM of 995, 690, 180, 209?
Answer: LCM of 995, 690, 180, 209 is 172186740.
2. How to calculate the LCM of 995, 690, 180, 209?
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 995, 690, 180, 209.
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}.