LCM of 478, 711, 176, 144, 843
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 478, 711, 176, 144, 843 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 478, 711, 176, 144, 843. So, keep reading to learn more.
Given numbers are 478,711,176,144,843
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 478,711,176,144,843 is 8404008624.
Find LCM of 478,711,176,144,843 with Prime Factorization
| 2 | 478, 711, 176, 144, 843 |
| 2 | 239, 711, 88, 72, 843 |
| 2 | 239, 711, 44, 36, 843 |
| 2 | 239, 711, 22, 18, 843 |
| 3 | 239, 711, 11, 9, 843 |
| 3 | 239, 237, 11, 3, 281 |
| 239, 79, 11, 1, 281 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 3 x 239 x 79 x 11 x 1 x 281 = 8404008624
Therefore, the lowest common multiple of 478,711,176,144,843 is 8404008624.
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.
478 x 711 x 176 x 144 x 843 = 7261063451136
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.
478 : 1, 2, 239, 478
711 : 1, 3, 9, 79, 237, 711
176 : 1, 2, 4, 8, 11, 16, 22, 44, 88, 176
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
843 : 1, 3, 281, 843
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 478,711,176,144,843, is 1.
Now, the common factors can be found like this.
478:2x 239
711:3x 3x 79
176:2x 2x 2x 2x 11
144:2x 2x 2x 2x 3x 3
843:3x 281
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 3 = 864
Therefore, the value for common factors is 864.
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 = 7261063451136/(1x864)
LCM = 7261063451136/864
LCM = 8404008624
Thus, we can understand that the LCM of 478,711,176,144,843 is 8404008624.
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FAQs on LCM of 478, 711, 176, 144, 843
1. What is the LCM of 478, 711, 176, 144, 843?
Answer: LCM of 478, 711, 176, 144, 843 is 8404008624.
2. How to calculate the LCM of 478, 711, 176, 144, 843?
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 478, 711, 176, 144, 843.
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}.