LCM of 239, 309, 435, 870
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 239, 309, 435, 870 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 239, 309, 435, 870. So, keep reading to learn more.
Given numbers are 239,309,435,870
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 239,309,435,870 is 21416790.
Find LCM of 239,309,435,870 with Prime Factorization
| 3 | 239, 309, 435, 870 |
| 5 | 239, 103, 145, 290 |
| 29 | 239, 103, 29, 58 |
| 239, 103, 1, 2 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 29 x 239 x 103 x 1 x 2 = 21416790
Therefore, the lowest common multiple of 239,309,435,870 is 21416790.
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.
239 x 309 x 435 x 870 = 27948910950
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.
239 : 1, 239
309 : 1, 3, 103, 309
435 : 1, 3, 5, 15, 29, 87, 145, 435
870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 239,309,435,870, is 1.
Now, the common factors can be found like this.
239:239
309:3x 103
435:3x 5x 29
870:2x 3x 5x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 5x 29 = 1305
Therefore, the value for common factors is 1305.
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 = 27948910950/(1x1305)
LCM = 27948910950/1305
LCM = 21416790
Thus, we can understand that the LCM of 239,309,435,870 is 21416790.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 239, 309, 435, 870
1. What is the LCM of 239, 309, 435, 870?
Answer: LCM of 239, 309, 435, 870 is 21416790.
2. How to calculate the LCM of 239, 309, 435, 870?
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 239, 309, 435, 870.
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}.