LCM of 99, 21, 78, 70, 825
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 99, 21, 78, 70, 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 99, 21, 78, 70, 825. So, keep reading to learn more.
Given numbers are 99,21,78,70,825
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 99,21,78,70,825 is 450450.
Find LCM of 99,21,78,70,825 with Prime Factorization
| 2 | 99, 21, 78, 70, 825 |
| 3 | 99, 21, 39, 35, 825 |
| 5 | 33, 7, 13, 35, 275 |
| 7 | 33, 7, 13, 7, 55 |
| 11 | 33, 1, 13, 1, 55 |
| 3, 1, 13, 1, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 11 x 3 x 1 x 13 x 1 x 5 = 450450
Therefore, the lowest common multiple of 99,21,78,70,825 is 450450.
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.
99 x 21 x 78 x 70 x 825 = 9364855500
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.
99 : 1, 3, 9, 11, 33, 99
21 : 1, 3, 7, 21
78 : 1, 2, 3, 6, 13, 26, 39, 78
70 : 1, 2, 5, 7, 10, 14, 35, 70
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 99,21,78,70,825, is 1.
Now, the common factors can be found like this.
99:3x 3x 11
21:3x 7
78:2x 3x 13
70:2x 5x 7
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 3x 5x 7x 11 = 20790
Therefore, the value for common factors is 20790.
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 = 9364855500/(1x20790)
LCM = 9364855500/20790
LCM = 450450
Thus, we can understand that the LCM of 99,21,78,70,825 is 450450.
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FAQs on LCM of 99, 21, 78, 70, 825
1. What is the LCM of 99, 21, 78, 70, 825?
Answer: LCM of 99, 21, 78, 70, 825 is 450450.
2. How to calculate the LCM of 99, 21, 78, 70, 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 99, 21, 78, 70, 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}.