LCM of 953, 364, 815, 660, 367
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 953, 364, 815, 660, 367 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 953, 364, 815, 660, 367. So, keep reading to learn more.
Given numbers are 953,364,815,660,367
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 953,364,815,660,367 is 3423985344780.
Find LCM of 953,364,815,660,367 with Prime Factorization
| 2 | 953, 364, 815, 660, 367 |
| 2 | 953, 182, 815, 330, 367 |
| 5 | 953, 91, 815, 165, 367 |
| 953, 91, 163, 33, 367 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 953 x 91 x 163 x 33 x 367 = 3423985344780
Therefore, the lowest common multiple of 953,364,815,660,367 is 3423985344780.
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.
953 x 364 x 815 x 660 x 367 = 68479706895600
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.
953 : 1, 953
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
815 : 1, 5, 163, 815
660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
367 : 1, 367
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 953,364,815,660,367, is 1.
Now, the common factors can be found like this.
953:953
364:2x 2x 7x 13
815:5x 163
660:2x 2x 3x 5x 11
367:367
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 5 = 20
Therefore, the value for common factors is 20.
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 = 68479706895600/(1x20)
LCM = 68479706895600/20
LCM = 3423985344780
Thus, we can understand that the LCM of 953,364,815,660,367 is 3423985344780.
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FAQs on LCM of 953, 364, 815, 660, 367
1. What is the LCM of 953, 364, 815, 660, 367?
Answer: LCM of 953, 364, 815, 660, 367 is 3423985344780.
2. How to calculate the LCM of 953, 364, 815, 660, 367?
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 953, 364, 815, 660, 367.
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}.