LCM of 230, 210, 377, 309, 832
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 230, 210, 377, 309, 832 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 230, 210, 377, 309, 832. So, keep reading to learn more.
Given numbers are 230,210,377,309,832
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 230,210,377,309,832 is 6001719360.
Find LCM of 230,210,377,309,832 with Prime Factorization
| 2 | 230, 210, 377, 309, 832 |
| 3 | 115, 105, 377, 309, 416 |
| 5 | 115, 35, 377, 103, 416 |
| 13 | 23, 7, 377, 103, 416 |
| 23, 7, 29, 103, 32 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 13 x 23 x 7 x 29 x 103 x 32 = 6001719360
Therefore, the lowest common multiple of 230,210,377,309,832 is 6001719360.
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.
230 x 210 x 377 x 309 x 832 = 4681341100800
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.
230 : 1, 2, 5, 10, 23, 46, 115, 230
210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
377 : 1, 13, 29, 377
309 : 1, 3, 103, 309
832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 230,210,377,309,832, is 1.
Now, the common factors can be found like this.
230:2x 5x 23
210:2x 3x 5x 7
377:13x 29
309:3x 103
832:2x 2x 2x 2x 2x 2x 13
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 5x 13 = 780
Therefore, the value for common factors is 780.
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 = 4681341100800/(1x780)
LCM = 4681341100800/780
LCM = 6001719360
Thus, we can understand that the LCM of 230,210,377,309,832 is 6001719360.
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FAQs on LCM of 230, 210, 377, 309, 832
1. What is the LCM of 230, 210, 377, 309, 832?
Answer: LCM of 230, 210, 377, 309, 832 is 6001719360.
2. How to calculate the LCM of 230, 210, 377, 309, 832?
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 230, 210, 377, 309, 832.
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}.