LCM of 309, 620, 424, 409
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 309, 620, 424, 409 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 309, 620, 424, 409. So, keep reading to learn more.
Given numbers are 309,620,424,409
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 309,620,424,409 is 8305759320.
Find LCM of 309,620,424,409 with Prime Factorization
| 2 | 309, 620, 424, 409 |
| 2 | 309, 310, 212, 409 |
| 309, 155, 106, 409 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 309 x 155 x 106 x 409 = 8305759320
Therefore, the lowest common multiple of 309,620,424,409 is 8305759320.
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.
309 x 620 x 424 x 409 = 33223037280
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.
309 : 1, 3, 103, 309
620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
424 : 1, 2, 4, 8, 53, 106, 212, 424
409 : 1, 409
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 309,620,424,409, is 1.
Now, the common factors can be found like this.
309:3x 103
620:2x 2x 5x 31
424:2x 2x 2x 53
409:409
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 33223037280/(1x4)
LCM = 33223037280/4
LCM = 8305759320
Thus, we can understand that the LCM of 309,620,424,409 is 8305759320.
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FAQs on LCM of 309, 620, 424, 409
1. What is the LCM of 309, 620, 424, 409?
Answer: LCM of 309, 620, 424, 409 is 8305759320.
2. How to calculate the LCM of 309, 620, 424, 409?
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 309, 620, 424, 409.
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}.