LCM of 203, 327, 870, 578, 311
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 203, 327, 870, 578, 311 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 203, 327, 870, 578, 311. So, keep reading to learn more.
Given numbers are 203,327,870,578,311
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 203,327,870,578,311 is 59662578990.
Find LCM of 203,327,870,578,311 with Prime Factorization
| 2 | 203, 327, 870, 578, 311 |
| 3 | 203, 327, 435, 289, 311 |
| 29 | 203, 109, 145, 289, 311 |
| 7, 109, 5, 289, 311 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 29 x 7 x 109 x 5 x 289 x 311 = 59662578990
Therefore, the lowest common multiple of 203,327,870,578,311 is 59662578990.
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.
203 x 327 x 870 x 578 x 311 = 10381288744260
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.
203 : 1, 7, 29, 203
327 : 1, 3, 109, 327
870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
578 : 1, 2, 17, 34, 289, 578
311 : 1, 311
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 203,327,870,578,311, is 1.
Now, the common factors can be found like this.
203:7x 29
327:3x 109
870:2x 3x 5x 29
578:2x 17x 17
311:311
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 29 = 174
Therefore, the value for common factors is 174.
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 = 10381288744260/(1x174)
LCM = 10381288744260/174
LCM = 59662578990
Thus, we can understand that the LCM of 203,327,870,578,311 is 59662578990.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 203, 327, 870, 578, 311
1. What is the LCM of 203, 327, 870, 578, 311?
Answer: LCM of 203, 327, 870, 578, 311 is 59662578990.
2. How to calculate the LCM of 203, 327, 870, 578, 311?
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 203, 327, 870, 578, 311.
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}.