LCM of 728, 677, 675, 719, 945
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 728, 677, 675, 719, 945 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 728, 677, 675, 719, 945. So, keep reading to learn more.
Given numbers are 728,677,675,719,945
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 728,677,675,719,945 is 239195338200.
Find LCM of 728,677,675,719,945 with Prime Factorization
| 3 | 728, 677, 675, 719, 945 |
| 3 | 728, 677, 225, 719, 315 |
| 3 | 728, 677, 75, 719, 105 |
| 5 | 728, 677, 25, 719, 35 |
| 7 | 728, 677, 5, 719, 7 |
| 104, 677, 5, 719, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 3 x 5 x 7 x 104 x 677 x 5 x 719 x 1 = 239195338200
Therefore, the lowest common multiple of 728,677,675,719,945 is 239195338200.
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.
728 x 677 x 675 x 719 x 945 = 226039594599000
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.
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
677 : 1, 677
675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
719 : 1, 719
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,677,675,719,945, is 1.
Now, the common factors can be found like this.
728:2x 2x 2x 7x 13
677:677
675:3x 3x 3x 5x 5
719:719
945:3x 3x 3x 5x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 5x 7 = 945
Therefore, the value for common factors is 945.
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 = 226039594599000/(1x945)
LCM = 226039594599000/945
LCM = 239195338200
Thus, we can understand that the LCM of 728,677,675,719,945 is 239195338200.
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FAQs on LCM of 728, 677, 675, 719, 945
1. What is the LCM of 728, 677, 675, 719, 945?
Answer: LCM of 728, 677, 675, 719, 945 is 239195338200.
2. How to calculate the LCM of 728, 677, 675, 719, 945?
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 728, 677, 675, 719, 945.
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}.