LCM of 373, 570, 815, 100, 326
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 373, 570, 815, 100, 326 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 373, 570, 815, 100, 326. So, keep reading to learn more.
Given numbers are 373,570,815,100,326
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 373,570,815,100,326 is 346554300.
Find LCM of 373,570,815,100,326 with Prime Factorization
| 2 | 373, 570, 815, 100, 326 |
| 5 | 373, 285, 815, 50, 163 |
| 163 | 373, 57, 163, 10, 163 |
| 373, 57, 1, 10, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 163 x 373 x 57 x 1 x 10 x 1 = 346554300
Therefore, the lowest common multiple of 373,570,815,100,326 is 346554300.
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.
373 x 570 x 815 x 100 x 326 = 5648835090000
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.
373 : 1, 373
570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
815 : 1, 5, 163, 815
100 : 1, 2, 4, 5, 10, 20, 25, 50, 100
326 : 1, 2, 163, 326
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 373,570,815,100,326, is 1.
Now, the common factors can be found like this.
373:373
570:2x 3x 5x 19
815:5x 163
100:2x 2x 5x 5
326:2x 163
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 163 = 16300
Therefore, the value for common factors is 16300.
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 = 5648835090000/(1x16300)
LCM = 5648835090000/16300
LCM = 346554300
Thus, we can understand that the LCM of 373,570,815,100,326 is 346554300.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 373, 570, 815, 100, 326
1. What is the LCM of 373, 570, 815, 100, 326?
Answer: LCM of 373, 570, 815, 100, 326 is 346554300.
2. How to calculate the LCM of 373, 570, 815, 100, 326?
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 373, 570, 815, 100, 326.
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}.