LCM of 770, 729, 308, 119, 680
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 770, 729, 308, 119, 680 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 770, 729, 308, 119, 680. So, keep reading to learn more.
Given numbers are 770,729,308,119,680
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 770,729,308,119,680 is 38170440.
Find LCM of 770,729,308,119,680 with Prime Factorization
| 2 | 770, 729, 308, 119, 680 |
| 2 | 385, 729, 154, 119, 340 |
| 5 | 385, 729, 77, 119, 170 |
| 7 | 77, 729, 77, 119, 34 |
| 11 | 11, 729, 11, 17, 34 |
| 17 | 1, 729, 1, 17, 34 |
| 1, 729, 1, 1, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 7 x 11 x 17 x 1 x 729 x 1 x 1 x 2 = 38170440
Therefore, the lowest common multiple of 770,729,308,119,680 is 38170440.
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.
770 x 729 x 308 x 119 x 680 = 13990229668800
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.
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
729 : 1, 3, 9, 27, 81, 243, 729
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
119 : 1, 7, 17, 119
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 770,729,308,119,680, is 1.
Now, the common factors can be found like this.
770:2x 5x 7x 11
729:3x 3x 3x 3x 3x 3
308:2x 2x 7x 11
119:7x 17
680:2x 2x 2x 5x 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 5x 7x 7x 11x 17 = 366520
Therefore, the value for common factors is 366520.
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 = 13990229668800/(1x366520)
LCM = 13990229668800/366520
LCM = 38170440
Thus, we can understand that the LCM of 770,729,308,119,680 is 38170440.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 770, 729, 308, 119, 680
1. What is the LCM of 770, 729, 308, 119, 680?
Answer: LCM of 770, 729, 308, 119, 680 is 38170440.
2. How to calculate the LCM of 770, 729, 308, 119, 680?
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 770, 729, 308, 119, 680.
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}.