LCM of 704, 712, 374, 726, 748
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 704, 712, 374, 726, 748 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 704, 712, 374, 726, 748. So, keep reading to learn more.
Given numbers are 704,712,374,726,748
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 704,712,374,726,748 is 35150016.
Find LCM of 704,712,374,726,748 with Prime Factorization
| 2 | 704, 712, 374, 726, 748 |
| 2 | 352, 356, 187, 363, 374 |
| 2 | 176, 178, 187, 363, 187 |
| 11 | 88, 89, 187, 363, 187 |
| 17 | 8, 89, 17, 33, 17 |
| 8, 89, 1, 33, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 11 x 17 x 8 x 89 x 1 x 33 x 1 = 35150016
Therefore, the lowest common multiple of 704,712,374,726,748 is 35150016.
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.
704 x 712 x 374 x 726 x 748 = 101803444740096
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.
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
712 : 1, 2, 4, 8, 89, 178, 356, 712
374 : 1, 2, 11, 17, 22, 34, 187, 374
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 704,712,374,726,748, is 2.
Now, the common factors can be found like this.
704:2x 2x 2x 2x 2x 2x 11
712:2x 2x 2x 89
374:2x 11x 17
726:2x 3x 11x 11
748:2x 2x 11x 17
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 11x 11x 11x 17 = 1448128
Therefore, the value for common factors is 1448128.
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 = 101803444740096/(2x1448128)
LCM = 101803444740096/2896256
LCM = 35150016
Thus, we can understand that the LCM of 704,712,374,726,748 is 35150016.
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FAQs on LCM of 704, 712, 374, 726, 748
1. What is the LCM of 704, 712, 374, 726, 748?
Answer: LCM of 704, 712, 374, 726, 748 is 35150016.
2. How to calculate the LCM of 704, 712, 374, 726, 748?
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 704, 712, 374, 726, 748.
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}.