LCM of 196, 464, 758, 225, 684
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 196, 464, 758, 225, 684 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 196, 464, 758, 225, 684. So, keep reading to learn more.
Given numbers are 196,464,758,225,684
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 196,464,758,225,684 is 36837435600.
Find LCM of 196,464,758,225,684 with Prime Factorization
| 2 | 196, 464, 758, 225, 684 |
| 2 | 98, 232, 379, 225, 342 |
| 3 | 49, 116, 379, 225, 171 |
| 3 | 49, 116, 379, 75, 57 |
| 49, 116, 379, 25, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 49 x 116 x 379 x 25 x 19 = 36837435600
Therefore, the lowest common multiple of 196,464,758,225,684 is 36837435600.
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.
196 x 464 x 758 x 225 x 684 = 10609181452800
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.
196 : 1, 2, 4, 7, 14, 28, 49, 98, 196
464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464
758 : 1, 2, 379, 758
225 : 1, 3, 5, 9, 15, 25, 45, 75, 225
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 196,464,758,225,684, is 1.
Now, the common factors can be found like this.
196:2x 2x 7x 7
464:2x 2x 2x 2x 29
758:2x 379
225:3x 3x 5x 5
684:2x 2x 3x 3x 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 2x 2x 2x 2x 3x 3 = 288
Therefore, the value for common factors is 288.
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 = 10609181452800/(1x288)
LCM = 10609181452800/288
LCM = 36837435600
Thus, we can understand that the LCM of 196,464,758,225,684 is 36837435600.
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FAQs on LCM of 196, 464, 758, 225, 684
1. What is the LCM of 196, 464, 758, 225, 684?
Answer: LCM of 196, 464, 758, 225, 684 is 36837435600.
2. How to calculate the LCM of 196, 464, 758, 225, 684?
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 196, 464, 758, 225, 684.
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}.