LCM of 678, 704, 791, 251
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 678, 704, 791, 251 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 678, 704, 791, 251. So, keep reading to learn more.
Given numbers are 678,704,791,251
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 678,704,791,251 is 419318592.
Find LCM of 678,704,791,251 with Prime Factorization
| 2 | 678, 704, 791, 251 |
| 113 | 339, 352, 791, 251 |
| 3, 352, 7, 251 |
Multiply the prime numbers at the bottom and the left side.
2 x 113 x 3 x 352 x 7 x 251 = 419318592
Therefore, the lowest common multiple of 678,704,791,251 is 419318592.
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.
678 x 704 x 791 x 251 = 94766001792
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.
678 : 1, 2, 3, 6, 113, 226, 339, 678
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
791 : 1, 7, 113, 791
251 : 1, 251
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 678,704,791,251, is 1.
Now, the common factors can be found like this.
678:2x 3x 113
704:2x 2x 2x 2x 2x 2x 11
791:7x 113
251:251
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 113 = 226
Therefore, the value for common factors is 226.
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 = 94766001792/(1x226)
LCM = 94766001792/226
LCM = 419318592
Thus, we can understand that the LCM of 678,704,791,251 is 419318592.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 678, 704, 791, 251
1. What is the LCM of 678, 704, 791, 251?
Answer: LCM of 678, 704, 791, 251 is 419318592.
2. How to calculate the LCM of 678, 704, 791, 251?
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 678, 704, 791, 251.
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}.