LCM of 715, 702, 408, 408, 748
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 715, 702, 408, 408, 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 715, 702, 408, 408, 748. So, keep reading to learn more.
Given numbers are 715,702,408,408,748
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 715,702,408,408,748 is 2625480.
Find LCM of 715,702,408,408,748 with Prime Factorization
| 2 | 715, 702, 408, 408, 748 |
| 2 | 715, 351, 204, 204, 374 |
| 2 | 715, 351, 102, 102, 187 |
| 3 | 715, 351, 51, 51, 187 |
| 11 | 715, 117, 17, 17, 187 |
| 13 | 65, 117, 17, 17, 17 |
| 17 | 5, 9, 17, 17, 17 |
| 5, 9, 1, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 11 x 13 x 17 x 5 x 9 x 1 x 1 x 1 = 2625480
Therefore, the lowest common multiple of 715,702,408,408,748 is 2625480.
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.
715 x 702 x 408 x 408 x 748 = 62497850088960
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.
715 : 1, 5, 11, 13, 55, 65, 143, 715
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 715,702,408,408,748, is 1.
Now, the common factors can be found like this.
715:5x 11x 13
702:2x 3x 3x 3x 13
408:2x 2x 2x 3x 17
408:2x 2x 2x 3x 17
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 3x 3x 11x 13x 17x 17 = 23804352
Therefore, the value for common factors is 23804352.
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 = 62497850088960/(1x23804352)
LCM = 62497850088960/23804352
LCM = 2625480
Thus, we can understand that the LCM of 715,702,408,408,748 is 2625480.
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FAQs on LCM of 715, 702, 408, 408, 748
1. What is the LCM of 715, 702, 408, 408, 748?
Answer: LCM of 715, 702, 408, 408, 748 is 2625480.
2. How to calculate the LCM of 715, 702, 408, 408, 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 715, 702, 408, 408, 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}.