LCM of 688, 672, 474, 143, 711
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 688, 672, 474, 143, 711 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 688, 672, 474, 143, 711. So, keep reading to learn more.
Given numbers are 688,672,474,143,711
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 688,672,474,143,711 is 979314336.
Find LCM of 688,672,474,143,711 with Prime Factorization
| 2 | 688, 672, 474, 143, 711 |
| 2 | 344, 336, 237, 143, 711 |
| 2 | 172, 168, 237, 143, 711 |
| 2 | 86, 84, 237, 143, 711 |
| 3 | 43, 42, 237, 143, 711 |
| 79 | 43, 14, 79, 143, 237 |
| 43, 14, 1, 143, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 79 x 43 x 14 x 1 x 143 x 3 = 979314336
Therefore, the lowest common multiple of 688,672,474,143,711 is 979314336.
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.
688 x 672 x 474 x 143 x 711 = 22281359772672
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.
688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
474 : 1, 2, 3, 6, 79, 158, 237, 474
143 : 1, 11, 13, 143
711 : 1, 3, 9, 79, 237, 711
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 688,672,474,143,711, is 1.
Now, the common factors can be found like this.
688:2x 2x 2x 2x 43
672:2x 2x 2x 2x 2x 3x 7
474:2x 3x 79
143:11x 13
711:3x 3x 79
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 79 = 22752
Therefore, the value for common factors is 22752.
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 = 22281359772672/(1x22752)
LCM = 22281359772672/22752
LCM = 979314336
Thus, we can understand that the LCM of 688,672,474,143,711 is 979314336.
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FAQs on LCM of 688, 672, 474, 143, 711
1. What is the LCM of 688, 672, 474, 143, 711?
Answer: LCM of 688, 672, 474, 143, 711 is 979314336.
2. How to calculate the LCM of 688, 672, 474, 143, 711?
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 688, 672, 474, 143, 711.
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}.