LCM of 689, 448, 168, 420, 987
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 689, 448, 168, 420, 987 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 689, 448, 168, 420, 987. So, keep reading to learn more.
Given numbers are 689,448,168,420,987
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 689,448,168,420,987 is 217613760.
Find LCM of 689,448,168,420,987 with Prime Factorization
| 2 | 689, 448, 168, 420, 987 |
| 2 | 689, 224, 84, 210, 987 |
| 2 | 689, 112, 42, 105, 987 |
| 3 | 689, 56, 21, 105, 987 |
| 7 | 689, 56, 7, 35, 329 |
| 689, 8, 1, 5, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 689 x 8 x 1 x 5 x 47 = 217613760
Therefore, the lowest common multiple of 689,448,168,420,987 is 217613760.
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.
689 x 448 x 168 x 420 x 987 = 21496757667840
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.
689 : 1, 13, 53, 689
448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
987 : 1, 3, 7, 21, 47, 141, 329, 987
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 689,448,168,420,987, is 1.
Now, the common factors can be found like this.
689:13x 53
448:2x 2x 2x 2x 2x 2x 7
168:2x 2x 2x 3x 7
420:2x 2x 3x 5x 7
987:3x 7x 47
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 3x 7x 7x 7 = 98784
Therefore, the value for common factors is 98784.
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 = 21496757667840/(1x98784)
LCM = 21496757667840/98784
LCM = 217613760
Thus, we can understand that the LCM of 689,448,168,420,987 is 217613760.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 689, 448, 168, 420, 987
1. What is the LCM of 689, 448, 168, 420, 987?
Answer: LCM of 689, 448, 168, 420, 987 is 217613760.
2. How to calculate the LCM of 689, 448, 168, 420, 987?
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 689, 448, 168, 420, 987.
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}.