LCM of 468, 260, 962, 140, 204
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 468, 260, 962, 140, 204 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 468, 260, 962, 140, 204. So, keep reading to learn more.
Given numbers are 468,260,962,140,204
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 468,260,962,140,204 is 10303020.
Find LCM of 468,260,962,140,204 with Prime Factorization
| 2 | 468, 260, 962, 140, 204 |
| 2 | 234, 130, 481, 70, 102 |
| 3 | 117, 65, 481, 35, 51 |
| 5 | 39, 65, 481, 35, 17 |
| 13 | 39, 13, 481, 7, 17 |
| 3, 1, 37, 7, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 13 x 3 x 1 x 37 x 7 x 17 = 10303020
Therefore, the lowest common multiple of 468,260,962,140,204 is 10303020.
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.
468 x 260 x 962 x 140 x 204 = 3343123929600
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.
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
962 : 1, 2, 13, 26, 37, 74, 481, 962
140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 468,260,962,140,204, is 2.
Now, the common factors can be found like this.
468:2x 2x 3x 3x 13
260:2x 2x 5x 13
962:2x 13x 37
140:2x 2x 5x 7
204:2x 2x 3x 17
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 3x 5x 13x 13 = 162240
Therefore, the value for common factors is 162240.
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 = 3343123929600/(2x162240)
LCM = 3343123929600/324480
LCM = 10303020
Thus, we can understand that the LCM of 468,260,962,140,204 is 10303020.
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FAQs on LCM of 468, 260, 962, 140, 204
1. What is the LCM of 468, 260, 962, 140, 204?
Answer: LCM of 468, 260, 962, 140, 204 is 10303020.
2. How to calculate the LCM of 468, 260, 962, 140, 204?
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 468, 260, 962, 140, 204.
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}.