LCM of 723, 750, 825, 921, 756
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 723, 750, 825, 921, 756 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 723, 750, 825, 921, 756. So, keep reading to learn more.
Given numbers are 723,750,825,921,756
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 723,750,825,921,756 is 76909486500.
Find LCM of 723,750,825,921,756 with Prime Factorization
| 2 | 723, 750, 825, 921, 756 |
| 3 | 723, 375, 825, 921, 378 |
| 5 | 241, 125, 275, 307, 126 |
| 5 | 241, 25, 55, 307, 126 |
| 241, 5, 11, 307, 126 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 5 x 241 x 5 x 11 x 307 x 126 = 76909486500
Therefore, the lowest common multiple of 723,750,825,921,756 is 76909486500.
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.
723 x 750 x 825 x 921 x 756 = 311483420325000
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.
723 : 1, 3, 241, 723
750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
921 : 1, 3, 307, 921
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 723,750,825,921,756, is 3.
Now, the common factors can be found like this.
723:3x 241
750:2x 3x 5x 5x 5
825:3x 5x 5x 11
921:3x 307
756:2x 2x 3x 3x 3x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 5x 5 = 1350
Therefore, the value for common factors is 1350.
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 = 311483420325000/(3x1350)
LCM = 311483420325000/4050
LCM = 76909486500
Thus, we can understand that the LCM of 723,750,825,921,756 is 76909486500.
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FAQs on LCM of 723, 750, 825, 921, 756
1. What is the LCM of 723, 750, 825, 921, 756?
Answer: LCM of 723, 750, 825, 921, 756 is 76909486500.
2. How to calculate the LCM of 723, 750, 825, 921, 756?
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 723, 750, 825, 921, 756.
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}.