LCM of 684, 456, 758, 449
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 684, 456, 758, 449 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, 456, 758, 449. So, keep reading to learn more.
Given numbers are 684,456,758,449
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 684,456,758,449 is 232793928.
Find LCM of 684,456,758,449 with Prime Factorization
| 2 | 684, 456, 758, 449 |
| 2 | 342, 228, 379, 449 |
| 3 | 171, 114, 379, 449 |
| 19 | 57, 38, 379, 449 |
| 3, 2, 379, 449 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 19 x 3 x 2 x 379 x 449 = 232793928
Therefore, the lowest common multiple of 684,456,758,449 is 232793928.
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 456 x 758 x 449 = 106154031168
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
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
758 : 1, 2, 379, 758
449 : 1, 449
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 684,456,758,449, is 1.
Now, the common factors can be found like this.
684:2x 2x 3x 3x 19
456:2x 2x 2x 3x 19
758:2x 379
449:449
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 3x 19 = 456
Therefore, the value for common factors is 456.
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 = 106154031168/(1x456)
LCM = 106154031168/456
LCM = 232793928
Thus, we can understand that the LCM of 684,456,758,449 is 232793928.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 684, 456, 758, 449
1. What is the LCM of 684, 456, 758, 449?
Answer: LCM of 684, 456, 758, 449 is 232793928.
2. How to calculate the LCM of 684, 456, 758, 449?
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, 456, 758, 449.
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}.