LCM of 705, 300, 900, 676, 789
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 705, 300, 900, 676, 789 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 705, 300, 900, 676, 789. So, keep reading to learn more.
Given numbers are 705,300,900,676,789
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 705,300,900,676,789 is 1880108100.
Find LCM of 705,300,900,676,789 with Prime Factorization
| 2 | 705, 300, 900, 676, 789 |
| 2 | 705, 150, 450, 338, 789 |
| 3 | 705, 75, 225, 169, 789 |
| 5 | 235, 25, 75, 169, 263 |
| 5 | 47, 5, 15, 169, 263 |
| 47, 1, 3, 169, 263 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 5 x 47 x 1 x 3 x 169 x 263 = 1880108100
Therefore, the lowest common multiple of 705,300,900,676,789 is 1880108100.
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.
705 x 300 x 900 x 676 x 789 = 101525837400000
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.
705 : 1, 3, 5, 15, 47, 141, 235, 705
300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
789 : 1, 3, 263, 789
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 705,300,900,676,789, is 1.
Now, the common factors can be found like this.
705:3x 5x 47
300:2x 2x 3x 5x 5
900:2x 2x 3x 3x 5x 5
676:2x 2x 13x 13
789:3x 263
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 5x 5x 5 = 54000
Therefore, the value for common factors is 54000.
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 = 101525837400000/(1x54000)
LCM = 101525837400000/54000
LCM = 1880108100
Thus, we can understand that the LCM of 705,300,900,676,789 is 1880108100.
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FAQs on LCM of 705, 300, 900, 676, 789
1. What is the LCM of 705, 300, 900, 676, 789?
Answer: LCM of 705, 300, 900, 676, 789 is 1880108100.
2. How to calculate the LCM of 705, 300, 900, 676, 789?
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 705, 300, 900, 676, 789.
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}.