LCM of 90, 90, 45, 67, 965
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 90, 90, 45, 67, 965 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 90, 90, 45, 67, 965. So, keep reading to learn more.
Given numbers are 90,90,45,67,965
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 90,90,45,67,965 is 1163790.
Find LCM of 90,90,45,67,965 with Prime Factorization
| 2 | 90, 90, 45, 67, 965 |
| 3 | 45, 45, 45, 67, 965 |
| 3 | 15, 15, 15, 67, 965 |
| 5 | 5, 5, 5, 67, 965 |
| 1, 1, 1, 67, 193 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 1 x 1 x 1 x 67 x 193 = 1163790
Therefore, the lowest common multiple of 90,90,45,67,965 is 1163790.
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.
90 x 90 x 45 x 67 x 965 = 23566747500
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.
90 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
90 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
45 : 1, 3, 5, 9, 15, 45
67 : 1, 67
965 : 1, 5, 193, 965
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 90,90,45,67,965, is 1.
Now, the common factors can be found like this.
90:2x 3x 3x 5
90:2x 3x 3x 5
45:3x 3x 5
67:67
965:5x 193
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 3x 5x 5x 5 = 20250
Therefore, the value for common factors is 20250.
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 = 23566747500/(1x20250)
LCM = 23566747500/20250
LCM = 1163790
Thus, we can understand that the LCM of 90,90,45,67,965 is 1163790.
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FAQs on LCM of 90, 90, 45, 67, 965
1. What is the LCM of 90, 90, 45, 67, 965?
Answer: LCM of 90, 90, 45, 67, 965 is 1163790.
2. How to calculate the LCM of 90, 90, 45, 67, 965?
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 90, 90, 45, 67, 965.
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}.