LCM of 900, 101, 505, 607
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 900, 101, 505, 607 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, 101, 505, 607. So, keep reading to learn more.
Given numbers are 900,101,505,607
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 900,101,505,607 is 55176300.
Find LCM of 900,101,505,607 with Prime Factorization
| 5 | 900, 101, 505, 607 |
| 101 | 180, 101, 101, 607 |
| 180, 1, 1, 607 |
Multiply the prime numbers at the bottom and the left side.
5 x 101 x 180 x 1 x 1 x 607 = 55176300
Therefore, the lowest common multiple of 900,101,505,607 is 55176300.
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 101 x 505 x 607 = 27864031500
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
101 : 1, 101
505 : 1, 5, 101, 505
607 : 1, 607
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 900,101,505,607, is 1.
Now, the common factors can be found like this.
900:2x 2x 3x 3x 5x 5
101:101
505:5x 101
607:607
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 101 = 505
Therefore, the value for common factors is 505.
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 = 27864031500/(1x505)
LCM = 27864031500/505
LCM = 55176300
Thus, we can understand that the LCM of 900,101,505,607 is 55176300.
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FAQs on LCM of 900, 101, 505, 607
1. What is the LCM of 900, 101, 505, 607?
Answer: LCM of 900, 101, 505, 607 is 55176300.
2. How to calculate the LCM of 900, 101, 505, 607?
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, 101, 505, 607.
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}.