LCM of 900, 725, 484, 377
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 900, 725, 484, 377 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 900, 725, 484, 377. So, keep reading to learn more.
Given numbers are 900,725,484,377
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 900,725,484,377 is 41055300.
Find LCM of 900,725,484,377 with Prime Factorization
| 2 | 900, 725, 484, 377 |
| 2 | 450, 725, 242, 377 |
| 5 | 225, 725, 121, 377 |
| 5 | 45, 145, 121, 377 |
| 29 | 9, 29, 121, 377 |
| 9, 1, 121, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 5 x 29 x 9 x 1 x 121 x 13 = 41055300
Therefore, the lowest common multiple of 900,725,484,377 is 41055300.
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.
900 x 725 x 484 x 377 = 119060370000
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.
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
725 : 1, 5, 25, 29, 145, 725
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
377 : 1, 13, 29, 377
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 900,725,484,377, is 1.
Now, the common factors can be found like this.
900:2x 2x 3x 3x 5x 5
725:5x 5x 29
484:2x 2x 11x 11
377:13x 29
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 5x 5x 29 = 2900
Therefore, the value for common factors is 2900.
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 = 119060370000/(1x2900)
LCM = 119060370000/2900
LCM = 41055300
Thus, we can understand that the LCM of 900,725,484,377 is 41055300.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 900, 725, 484, 377
1. What is the LCM of 900, 725, 484, 377?
Answer: LCM of 900, 725, 484, 377 is 41055300.
2. How to calculate the LCM of 900, 725, 484, 377?
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 900, 725, 484, 377.
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}.