LCM of 794, 335, 365, 536, 680
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 794, 335, 365, 536, 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 794, 335, 365, 536, 680. So, keep reading to learn more.
Given numbers are 794,335,365,536,680
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 794,335,365,536,680 is 1320374360.
Find LCM of 794,335,365,536,680 with Prime Factorization
| 2 | 794, 335, 365, 536, 680 |
| 2 | 397, 335, 365, 268, 340 |
| 2 | 397, 335, 365, 134, 170 |
| 5 | 397, 335, 365, 67, 85 |
| 67 | 397, 67, 73, 67, 17 |
| 397, 1, 73, 1, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 67 x 397 x 1 x 73 x 1 x 17 = 1320374360
Therefore, the lowest common multiple of 794,335,365,536,680 is 1320374360.
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.
794 x 335 x 365 x 536 x 680 = 35386032848000
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.
794 : 1, 2, 397, 794
335 : 1, 5, 67, 335
365 : 1, 5, 73, 365
536 : 1, 2, 4, 8, 67, 134, 268, 536
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 794,335,365,536,680, is 1.
Now, the common factors can be found like this.
794:2x 397
335:5x 67
365:5x 73
536:2x 2x 2x 67
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 2x 5x 5x 67 = 26800
Therefore, the value for common factors is 26800.
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 = 35386032848000/(1x26800)
LCM = 35386032848000/26800
LCM = 1320374360
Thus, we can understand that the LCM of 794,335,365,536,680 is 1320374360.
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FAQs on LCM of 794, 335, 365, 536, 680
1. What is the LCM of 794, 335, 365, 536, 680?
Answer: LCM of 794, 335, 365, 536, 680 is 1320374360.
2. How to calculate the LCM of 794, 335, 365, 536, 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 794, 335, 365, 536, 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}.