LCM of 497, 680, 414, 115
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 497, 680, 414, 115 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 497, 680, 414, 115. So, keep reading to learn more.
Given numbers are 497,680,414,115
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 497,680,414,115 is 69957720.
Find LCM of 497,680,414,115 with Prime Factorization
| 2 | 497, 680, 414, 115 |
| 5 | 497, 340, 207, 115 |
| 23 | 497, 68, 207, 23 |
| 497, 68, 9, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 23 x 497 x 68 x 9 x 1 = 69957720
Therefore, the lowest common multiple of 497,680,414,115 is 69957720.
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.
497 x 680 x 414 x 115 = 16090275600
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.
497 : 1, 7, 71, 497
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
115 : 1, 5, 23, 115
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 497,680,414,115, is 1.
Now, the common factors can be found like this.
497:7x 71
680:2x 2x 2x 5x 17
414:2x 3x 3x 23
115:5x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 23 = 230
Therefore, the value for common factors is 230.
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 = 16090275600/(1x230)
LCM = 16090275600/230
LCM = 69957720
Thus, we can understand that the LCM of 497,680,414,115 is 69957720.
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FAQs on LCM of 497, 680, 414, 115
1. What is the LCM of 497, 680, 414, 115?
Answer: LCM of 497, 680, 414, 115 is 69957720.
2. How to calculate the LCM of 497, 680, 414, 115?
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 497, 680, 414, 115.
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}.