LCM of 620, 330, 309, 132, 403
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 620, 330, 309, 132, 403 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 620, 330, 309, 132, 403. So, keep reading to learn more.
Given numbers are 620,330,309,132,403
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 620,330,309,132,403 is 27395940.
Find LCM of 620,330,309,132,403 with Prime Factorization
| 2 | 620, 330, 309, 132, 403 |
| 2 | 310, 165, 309, 66, 403 |
| 3 | 155, 165, 309, 33, 403 |
| 5 | 155, 55, 103, 11, 403 |
| 11 | 31, 11, 103, 11, 403 |
| 31 | 31, 1, 103, 1, 403 |
| 1, 1, 103, 1, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 11 x 31 x 1 x 1 x 103 x 1 x 13 = 27395940
Therefore, the lowest common multiple of 620,330,309,132,403 is 27395940.
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.
620 x 330 x 309 x 132 x 403 = 3363125594400
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.
620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
309 : 1, 3, 103, 309
132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
403 : 1, 13, 31, 403
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 620,330,309,132,403, is 1.
Now, the common factors can be found like this.
620:2x 2x 5x 31
330:2x 3x 5x 11
309:3x 103
132:2x 2x 3x 11
403:13x 31
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 3x 3x 5x 11x 31 = 122760
Therefore, the value for common factors is 122760.
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 = 3363125594400/(1x122760)
LCM = 3363125594400/122760
LCM = 27395940
Thus, we can understand that the LCM of 620,330,309,132,403 is 27395940.
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FAQs on LCM of 620, 330, 309, 132, 403
1. What is the LCM of 620, 330, 309, 132, 403?
Answer: LCM of 620, 330, 309, 132, 403 is 27395940.
2. How to calculate the LCM of 620, 330, 309, 132, 403?
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 620, 330, 309, 132, 403.
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}.