LCM of 764, 583, 363, 666, 825
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 764, 583, 363, 666, 825 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 764, 583, 363, 666, 825. So, keep reading to learn more.
Given numbers are 764,583,363,666,825
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 764,583,363,666,825 is 40788603900.
Find LCM of 764,583,363,666,825 with Prime Factorization
| 2 | 764, 583, 363, 666, 825 |
| 3 | 382, 583, 363, 333, 825 |
| 11 | 382, 583, 121, 111, 275 |
| 382, 53, 11, 111, 25 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 382 x 53 x 11 x 111 x 25 = 40788603900
Therefore, the lowest common multiple of 764,583,363,666,825 is 40788603900.
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.
764 x 583 x 363 x 666 x 825 = 88837579294200
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.
764 : 1, 2, 4, 191, 382, 764
583 : 1, 11, 53, 583
363 : 1, 3, 11, 33, 121, 363
666 : 1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666
825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 764,583,363,666,825, is 1.
Now, the common factors can be found like this.
764:2x 2x 191
583:11x 53
363:3x 11x 11
666:2x 3x 3x 37
825:3x 5x 5x 11
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 11x 11 = 2178
Therefore, the value for common factors is 2178.
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 = 88837579294200/(1x2178)
LCM = 88837579294200/2178
LCM = 40788603900
Thus, we can understand that the LCM of 764,583,363,666,825 is 40788603900.
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FAQs on LCM of 764, 583, 363, 666, 825
1. What is the LCM of 764, 583, 363, 666, 825?
Answer: LCM of 764, 583, 363, 666, 825 is 40788603900.
2. How to calculate the LCM of 764, 583, 363, 666, 825?
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 764, 583, 363, 666, 825.
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}.