LCM of 900, 764, 310, 495, 981
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 900, 764, 310, 495, 981 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, 764, 310, 495, 981. So, keep reading to learn more.
Given numbers are 900,764,310,495,981
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 900,764,310,495,981 is 6389351100.
Find LCM of 900,764,310,495,981 with Prime Factorization
| 2 | 900, 764, 310, 495, 981 |
| 2 | 450, 382, 155, 495, 981 |
| 3 | 225, 191, 155, 495, 981 |
| 3 | 75, 191, 155, 165, 327 |
| 5 | 25, 191, 155, 55, 109 |
| 5, 191, 31, 11, 109 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 5 x 191 x 31 x 11 x 109 = 6389351100
Therefore, the lowest common multiple of 900,764,310,495,981 is 6389351100.
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 764 x 310 x 495 x 981 = 103507487820000
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
764 : 1, 2, 4, 191, 382, 764
310 : 1, 2, 5, 10, 31, 62, 155, 310
495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
981 : 1, 3, 9, 109, 327, 981
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 900,764,310,495,981, is 1.
Now, the common factors can be found like this.
900:2x 2x 3x 3x 5x 5
764:2x 2x 191
310:2x 5x 31
495:3x 3x 5x 11
981:3x 3x 109
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 2x 3x 3x 3x 3x 5x 5 = 16200
Therefore, the value for common factors is 16200.
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 = 103507487820000/(1x16200)
LCM = 103507487820000/16200
LCM = 6389351100
Thus, we can understand that the LCM of 900,764,310,495,981 is 6389351100.
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FAQs on LCM of 900, 764, 310, 495, 981
1. What is the LCM of 900, 764, 310, 495, 981?
Answer: LCM of 900, 764, 310, 495, 981 is 6389351100.
2. How to calculate the LCM of 900, 764, 310, 495, 981?
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, 764, 310, 495, 981.
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}.