LCM of 313, 909, 420, 20
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 313, 909, 420, 20 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 313, 909, 420, 20. So, keep reading to learn more.
Given numbers are 313,909,420,20
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 313,909,420,20 is 39832380.
Find LCM of 313,909,420,20 with Prime Factorization
| 2 | 313, 909, 420, 20 |
| 2 | 313, 909, 210, 10 |
| 3 | 313, 909, 105, 5 |
| 5 | 313, 303, 35, 5 |
| 313, 303, 7, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 313 x 303 x 7 x 1 = 39832380
Therefore, the lowest common multiple of 313,909,420,20 is 39832380.
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.
313 x 909 x 420 x 20 = 2389942800
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.
313 : 1, 313
909 : 1, 3, 9, 101, 303, 909
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
20 : 1, 2, 4, 5, 10, 20
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 313,909,420,20, is 1.
Now, the common factors can be found like this.
313:313
909:3x 3x 101
420:2x 2x 3x 5x 7
20:2x 2x 5
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 3x 5 = 60
Therefore, the value for common factors is 60.
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 = 2389942800/(1x60)
LCM = 2389942800/60
LCM = 39832380
Thus, we can understand that the LCM of 313,909,420,20 is 39832380.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 313, 909, 420, 20
1. What is the LCM of 313, 909, 420, 20?
Answer: LCM of 313, 909, 420, 20 is 39832380.
2. How to calculate the LCM of 313, 909, 420, 20?
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 313, 909, 420, 20.
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}.