LCM of 225, 630, 989, 969, 172
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 225, 630, 989, 969, 172 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 225, 630, 989, 969, 172. So, keep reading to learn more.
Given numbers are 225,630,989,969,172
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 225,630,989,969,172 is 2012516100.
Find LCM of 225,630,989,969,172 with Prime Factorization
| 2 | 225, 630, 989, 969, 172 |
| 3 | 225, 315, 989, 969, 86 |
| 3 | 75, 105, 989, 323, 86 |
| 5 | 25, 35, 989, 323, 86 |
| 43 | 5, 7, 989, 323, 86 |
| 5, 7, 23, 323, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 43 x 5 x 7 x 23 x 323 x 2 = 2012516100
Therefore, the lowest common multiple of 225,630,989,969,172 is 2012516100.
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.
225 x 630 x 989 x 969 x 172 = 23365311921000
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.
225 : 1, 3, 5, 9, 15, 25, 45, 75, 225
630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
989 : 1, 23, 43, 989
969 : 1, 3, 17, 19, 51, 57, 323, 969
172 : 1, 2, 4, 43, 86, 172
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 225,630,989,969,172, is 1.
Now, the common factors can be found like this.
225:3x 3x 5x 5
630:2x 3x 3x 5x 7
989:23x 43
969:3x 17x 19
172:2x 2x 43
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 3x 3x 5x 43 = 11610
Therefore, the value for common factors is 11610.
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 = 23365311921000/(1x11610)
LCM = 23365311921000/11610
LCM = 2012516100
Thus, we can understand that the LCM of 225,630,989,969,172 is 2012516100.
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FAQs on LCM of 225, 630, 989, 969, 172
1. What is the LCM of 225, 630, 989, 969, 172?
Answer: LCM of 225, 630, 989, 969, 172 is 2012516100.
2. How to calculate the LCM of 225, 630, 989, 969, 172?
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 225, 630, 989, 969, 172.
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}.