LCM of 686, 680, 674, 735, 515
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 686, 680, 674, 735, 515 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 686, 680, 674, 735, 515. So, keep reading to learn more.
Given numbers are 686,680,674,735,515
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 686,680,674,735,515 is 24287980920.
Find LCM of 686,680,674,735,515 with Prime Factorization
| 2 | 686, 680, 674, 735, 515 |
| 5 | 343, 340, 337, 735, 515 |
| 7 | 343, 68, 337, 147, 103 |
| 7 | 49, 68, 337, 21, 103 |
| 7, 68, 337, 3, 103 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 7 x 7 x 68 x 337 x 3 x 103 = 24287980920
Therefore, the lowest common multiple of 686,680,674,735,515 is 24287980920.
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.
686 x 680 x 674 x 735 x 515 = 119011106508000
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.
686 : 1, 2, 7, 14, 49, 98, 343, 686
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
674 : 1, 2, 337, 674
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
515 : 1, 5, 103, 515
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 686,680,674,735,515, is 1.
Now, the common factors can be found like this.
686:2x 7x 7x 7
680:2x 2x 2x 5x 17
674:2x 337
735:3x 5x 7x 7
515:5x 103
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 5x 5x 7x 7 = 4900
Therefore, the value for common factors is 4900.
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 = 119011106508000/(1x4900)
LCM = 119011106508000/4900
LCM = 24287980920
Thus, we can understand that the LCM of 686,680,674,735,515 is 24287980920.
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FAQs on LCM of 686, 680, 674, 735, 515
1. What is the LCM of 686, 680, 674, 735, 515?
Answer: LCM of 686, 680, 674, 735, 515 is 24287980920.
2. How to calculate the LCM of 686, 680, 674, 735, 515?
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 686, 680, 674, 735, 515.
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}.