LCM of 124, 679, 217, 600, 843
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 124, 679, 217, 600, 843 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 124, 679, 217, 600, 843. So, keep reading to learn more.
Given numbers are 124,679,217,600,843
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 124,679,217,600,843 is 3548861400.
Find LCM of 124,679,217,600,843 with Prime Factorization
| 2 | 124, 679, 217, 600, 843 |
| 2 | 62, 679, 217, 300, 843 |
| 3 | 31, 679, 217, 150, 843 |
| 7 | 31, 679, 217, 50, 281 |
| 31 | 31, 97, 31, 50, 281 |
| 1, 97, 1, 50, 281 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 31 x 1 x 97 x 1 x 50 x 281 = 3548861400
Therefore, the lowest common multiple of 124,679,217,600,843 is 3548861400.
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.
124 x 679 x 217 x 600 x 843 = 9241235085600
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.
124 : 1, 2, 4, 31, 62, 124
679 : 1, 7, 97, 679
217 : 1, 7, 31, 217
600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
843 : 1, 3, 281, 843
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 124,679,217,600,843, is 1.
Now, the common factors can be found like this.
124:2x 2x 31
679:7x 97
217:7x 31
600:2x 2x 2x 3x 5x 5
843:3x 281
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 3x 7x 31 = 2604
Therefore, the value for common factors is 2604.
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 = 9241235085600/(1x2604)
LCM = 9241235085600/2604
LCM = 3548861400
Thus, we can understand that the LCM of 124,679,217,600,843 is 3548861400.
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FAQs on LCM of 124, 679, 217, 600, 843
1. What is the LCM of 124, 679, 217, 600, 843?
Answer: LCM of 124, 679, 217, 600, 843 is 3548861400.
2. How to calculate the LCM of 124, 679, 217, 600, 843?
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 124, 679, 217, 600, 843.
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}.