LCM of 703, 580, 776, 736, 748
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 703, 580, 776, 736, 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 703, 580, 776, 736, 748. So, keep reading to learn more.
Given numbers are 703,580,776,736,748
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 703,580,776,736,748 is 1360863238240.
Find LCM of 703,580,776,736,748 with Prime Factorization
| 2 | 703, 580, 776, 736, 748 |
| 2 | 703, 290, 388, 368, 374 |
| 2 | 703, 145, 194, 184, 187 |
| 703, 145, 97, 92, 187 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 703 x 145 x 97 x 92 x 187 = 1360863238240
Therefore, the lowest common multiple of 703,580,776,736,748 is 1360863238240.
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.
703 x 580 x 776 x 736 x 748 = 174190494494720
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.
703 : 1, 19, 37, 703
580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
776 : 1, 2, 4, 8, 97, 194, 388, 776
736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
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 703,580,776,736,748, is 1.
Now, the common factors can be found like this.
703:19x 37
580:2x 2x 5x 29
776:2x 2x 2x 97
736:2x 2x 2x 2x 2x 23
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 2 = 128
Therefore, the value for common factors is 128.
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 = 174190494494720/(1x128)
LCM = 174190494494720/128
LCM = 1360863238240
Thus, we can understand that the LCM of 703,580,776,736,748 is 1360863238240.
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FAQs on LCM of 703, 580, 776, 736, 748
1. What is the LCM of 703, 580, 776, 736, 748?
Answer: LCM of 703, 580, 776, 736, 748 is 1360863238240.
2. How to calculate the LCM of 703, 580, 776, 736, 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 703, 580, 776, 736, 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}.