LCM of 684, 800, 630, 226, 174
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 684, 800, 630, 226, 174 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 684, 800, 630, 226, 174. So, keep reading to learn more.
Given numbers are 684,800,630,226,174
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 684,800,630,226,174 is 3138055200.
Find LCM of 684,800,630,226,174 with Prime Factorization
| 2 | 684, 800, 630, 226, 174 |
| 2 | 342, 400, 315, 113, 87 |
| 3 | 171, 200, 315, 113, 87 |
| 3 | 57, 200, 105, 113, 29 |
| 5 | 19, 200, 35, 113, 29 |
| 19, 40, 7, 113, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 19 x 40 x 7 x 113 x 29 = 3138055200
Therefore, the lowest common multiple of 684,800,630,226,174 is 3138055200.
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.
684 x 800 x 630 x 226 x 174 = 13556398464000
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.
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
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
226 : 1, 2, 113, 226
174 : 1, 2, 3, 6, 29, 58, 87, 174
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 684,800,630,226,174, is 2.
Now, the common factors can be found like this.
684:2x 2x 3x 3x 19
800:2x 2x 2x 2x 2x 5x 5
630:2x 3x 3x 5x 7
226:2x 113
174:2x 3x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 3x 3x 3x 5 = 2160
Therefore, the value for common factors is 2160.
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 = 13556398464000/(2x2160)
LCM = 13556398464000/4320
LCM = 3138055200
Thus, we can understand that the LCM of 684,800,630,226,174 is 3138055200.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 684, 800, 630, 226, 174
1. What is the LCM of 684, 800, 630, 226, 174?
Answer: LCM of 684, 800, 630, 226, 174 is 3138055200.
2. How to calculate the LCM of 684, 800, 630, 226, 174?
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 684, 800, 630, 226, 174.
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}.