LCM of 65, 14, 24, 96, 456
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 65, 14, 24, 96, 456 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 65, 14, 24, 96, 456. So, keep reading to learn more.
Given numbers are 65,14,24,96,456
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 65,14,24,96,456 is 829920.
Find LCM of 65,14,24,96,456 with Prime Factorization
| 2 | 65, 14, 24, 96, 456 |
| 2 | 65, 7, 12, 48, 228 |
| 2 | 65, 7, 6, 24, 114 |
| 3 | 65, 7, 3, 12, 57 |
| 65, 7, 1, 4, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 65 x 7 x 1 x 4 x 19 = 829920
Therefore, the lowest common multiple of 65,14,24,96,456 is 829920.
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.
65 x 14 x 24 x 96 x 456 = 956067840
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.
65 : 1, 5, 13, 65
14 : 1, 2, 7, 14
24 : 1, 2, 3, 4, 6, 8, 12, 24
96 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 65,14,24,96,456, is 1.
Now, the common factors can be found like this.
65:5x 13
14:2x 7
24:2x 2x 2x 3
96:2x 2x 2x 2x 2x 3
456:2x 2x 2x 3x 19
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 2x 2x 2x 2x 3x 3 = 1152
Therefore, the value for common factors is 1152.
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 = 956067840/(1x1152)
LCM = 956067840/1152
LCM = 829920
Thus, we can understand that the LCM of 65,14,24,96,456 is 829920.
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FAQs on LCM of 65, 14, 24, 96, 456
1. What is the LCM of 65, 14, 24, 96, 456?
Answer: LCM of 65, 14, 24, 96, 456 is 829920.
2. How to calculate the LCM of 65, 14, 24, 96, 456?
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 65, 14, 24, 96, 456.
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}.