LCM of 900, 413, 668, 770, 963
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 900, 413, 668, 770, 963 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, 413, 668, 770, 963. So, keep reading to learn more.
Given numbers are 900,413,668,770,963
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 900,413,668,770,963 is 73060980300.
Find LCM of 900,413,668,770,963 with Prime Factorization
| 2 | 900, 413, 668, 770, 963 |
| 2 | 450, 413, 334, 385, 963 |
| 3 | 225, 413, 167, 385, 963 |
| 3 | 75, 413, 167, 385, 321 |
| 5 | 25, 413, 167, 385, 107 |
| 7 | 5, 413, 167, 77, 107 |
| 5, 59, 167, 11, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 7 x 5 x 59 x 167 x 11 x 107 = 73060980300
Therefore, the lowest common multiple of 900,413,668,770,963 is 73060980300.
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 413 x 668 x 770 x 963 = 184113670356000
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
413 : 1, 7, 59, 413
668 : 1, 2, 4, 167, 334, 668
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
963 : 1, 3, 9, 107, 321, 963
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 900,413,668,770,963, is 1.
Now, the common factors can be found like this.
900:2x 2x 3x 3x 5x 5
413:7x 59
668:2x 2x 167
770:2x 5x 7x 11
963:3x 3x 107
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 5x 7 = 2520
Therefore, the value for common factors is 2520.
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 = 184113670356000/(1x2520)
LCM = 184113670356000/2520
LCM = 73060980300
Thus, we can understand that the LCM of 900,413,668,770,963 is 73060980300.
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FAQs on LCM of 900, 413, 668, 770, 963
1. What is the LCM of 900, 413, 668, 770, 963?
Answer: LCM of 900, 413, 668, 770, 963 is 73060980300.
2. How to calculate the LCM of 900, 413, 668, 770, 963?
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, 413, 668, 770, 963.
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}.