LCM of 418, 341, 684, 956, 144
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 418, 341, 684, 956, 144 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 418, 341, 684, 956, 144. So, keep reading to learn more.
Given numbers are 418,341,684,956,144
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 418,341,684,956,144 is 222981264.
Find LCM of 418,341,684,956,144 with Prime Factorization
| 2 | 418, 341, 684, 956, 144 |
| 2 | 209, 341, 342, 478, 72 |
| 3 | 209, 341, 171, 239, 36 |
| 3 | 209, 341, 57, 239, 12 |
| 11 | 209, 341, 19, 239, 4 |
| 19 | 19, 31, 19, 239, 4 |
| 1, 31, 1, 239, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 11 x 19 x 1 x 31 x 1 x 239 x 4 = 222981264
Therefore, the lowest common multiple of 418,341,684,956,144 is 222981264.
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.
418 x 341 x 684 x 956 x 144 = 13421688242688
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.
418 : 1, 2, 11, 19, 22, 38, 209, 418
341 : 1, 11, 31, 341
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
956 : 1, 2, 4, 239, 478, 956
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 418,341,684,956,144, is 1.
Now, the common factors can be found like this.
418:2x 11x 19
341:11x 31
684:2x 2x 3x 3x 19
956:2x 2x 239
144:2x 2x 2x 2x 3x 3
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 3x 3x 11x 19 = 60192
Therefore, the value for common factors is 60192.
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 = 13421688242688/(1x60192)
LCM = 13421688242688/60192
LCM = 222981264
Thus, we can understand that the LCM of 418,341,684,956,144 is 222981264.
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FAQs on LCM of 418, 341, 684, 956, 144
1. What is the LCM of 418, 341, 684, 956, 144?
Answer: LCM of 418, 341, 684, 956, 144 is 222981264.
2. How to calculate the LCM of 418, 341, 684, 956, 144?
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 418, 341, 684, 956, 144.
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}.