LCM of 688, 688, 814, 382, 224
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 688, 688, 814, 382, 224 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, 688, 814, 382, 224. So, keep reading to learn more.
Given numbers are 688,688,814,382,224
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 688,688,814,382,224 is 748762784.
Find LCM of 688,688,814,382,224 with Prime Factorization
| 2 | 688, 688, 814, 382, 224 |
| 2 | 344, 344, 407, 191, 112 |
| 2 | 172, 172, 407, 191, 56 |
| 2 | 86, 86, 407, 191, 28 |
| 43 | 43, 43, 407, 191, 14 |
| 1, 1, 407, 191, 14 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 43 x 1 x 1 x 407 x 191 x 14 = 748762784
Therefore, the lowest common multiple of 688,688,814,382,224 is 748762784.
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 688 x 814 x 382 x 224 = 32969522905088
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
688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
814 : 1, 2, 11, 22, 37, 74, 407, 814
382 : 1, 2, 191, 382
224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 688,688,814,382,224, is 2.
Now, the common factors can be found like this.
688:2x 2x 2x 2x 43
688:2x 2x 2x 2x 43
814:2x 11x 37
382:2x 191
224:2x 2x 2x 2x 2x 7
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 2x 2x 43 = 22016
Therefore, the value for common factors is 22016.
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 = 32969522905088/(2x22016)
LCM = 32969522905088/44032
LCM = 748762784
Thus, we can understand that the LCM of 688,688,814,382,224 is 748762784.
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FAQs on LCM of 688, 688, 814, 382, 224
1. What is the LCM of 688, 688, 814, 382, 224?
Answer: LCM of 688, 688, 814, 382, 224 is 748762784.
2. How to calculate the LCM of 688, 688, 814, 382, 224?
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, 688, 814, 382, 224.
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}.