LCM of 620, 309, 321, 620, 531
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 620, 309, 321, 620, 531 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, 309, 321, 620, 531. So, keep reading to learn more.
Given numbers are 620,309,321,620,531
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 620,309,321,620,531 is 3628333620.
Find LCM of 620,309,321,620,531 with Prime Factorization
| 2 | 620, 309, 321, 620, 531 |
| 2 | 310, 309, 321, 310, 531 |
| 3 | 155, 309, 321, 155, 531 |
| 5 | 155, 103, 107, 155, 177 |
| 31 | 31, 103, 107, 31, 177 |
| 1, 103, 107, 1, 177 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 31 x 1 x 103 x 107 x 1 x 177 = 3628333620
Therefore, the lowest common multiple of 620,309,321,620,531 is 3628333620.
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 309 x 321 x 620 x 531 = 20246101599600
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
309 : 1, 3, 103, 309
321 : 1, 3, 107, 321
620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
531 : 1, 3, 9, 59, 177, 531
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 620,309,321,620,531, is 1.
Now, the common factors can be found like this.
620:2x 2x 5x 31
309:3x 103
321:3x 107
620:2x 2x 5x 31
531:3x 3x 59
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 3x 5x 31 = 5580
Therefore, the value for common factors is 5580.
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 = 20246101599600/(1x5580)
LCM = 20246101599600/5580
LCM = 3628333620
Thus, we can understand that the LCM of 620,309,321,620,531 is 3628333620.
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FAQs on LCM of 620, 309, 321, 620, 531
1. What is the LCM of 620, 309, 321, 620, 531?
Answer: LCM of 620, 309, 321, 620, 531 is 3628333620.
2. How to calculate the LCM of 620, 309, 321, 620, 531?
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, 309, 321, 620, 531.
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}.