LCM of 116, 748, 680, 340, 746
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 116, 748, 680, 340, 746 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 116, 748, 680, 340, 746. So, keep reading to learn more.
Given numbers are 116,748,680,340,746
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 116,748,680,340,746 is 80911160.
Find LCM of 116,748,680,340,746 with Prime Factorization
| 2 | 116, 748, 680, 340, 746 |
| 2 | 58, 374, 340, 170, 373 |
| 5 | 29, 187, 85, 170, 373 |
| 17 | 29, 187, 17, 34, 373 |
| 29, 11, 1, 2, 373 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 17 x 29 x 11 x 1 x 2 x 373 = 80911160
Therefore, the lowest common multiple of 116,748,680,340,746 is 80911160.
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.
116 x 748 x 680 x 340 x 746 = 14965328153600
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.
116 : 1, 2, 4, 29, 58, 116
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
746 : 1, 2, 373, 746
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 116,748,680,340,746, is 2.
Now, the common factors can be found like this.
116:2x 2x 29
748:2x 2x 11x 17
680:2x 2x 2x 5x 17
340:2x 2x 5x 17
746:2x 373
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 5x 17x 17 = 92480
Therefore, the value for common factors is 92480.
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 = 14965328153600/(2x92480)
LCM = 14965328153600/184960
LCM = 80911160
Thus, we can understand that the LCM of 116,748,680,340,746 is 80911160.
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FAQs on LCM of 116, 748, 680, 340, 746
1. What is the LCM of 116, 748, 680, 340, 746?
Answer: LCM of 116, 748, 680, 340, 746 is 80911160.
2. How to calculate the LCM of 116, 748, 680, 340, 746?
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 116, 748, 680, 340, 746.
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}.