LCM of 213, 238, 578, 520, 871
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 213, 238, 578, 520, 871 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 213, 238, 578, 520, 871. So, keep reading to learn more.
Given numbers are 213,238,578,520,871
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 213,238,578,520,871 is 15012521160.
Find LCM of 213,238,578,520,871 with Prime Factorization
| 2 | 213, 238, 578, 520, 871 |
| 13 | 213, 119, 289, 260, 871 |
| 17 | 213, 119, 289, 20, 67 |
| 213, 7, 17, 20, 67 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 17 x 213 x 7 x 17 x 20 x 67 = 15012521160
Therefore, the lowest common multiple of 213,238,578,520,871 is 15012521160.
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.
213 x 238 x 578 x 520 x 871 = 13271068705440
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.
213 : 1, 3, 71, 213
238 : 1, 2, 7, 14, 17, 34, 119, 238
578 : 1, 2, 17, 34, 289, 578
520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
871 : 1, 13, 67, 871
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 213,238,578,520,871, is 1.
Now, the common factors can be found like this.
213:3x 71
238:2x 7x 17
578:2x 17x 17
520:2x 2x 2x 5x 13
871:13x 67
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 13x 17 = 884
Therefore, the value for common factors is 884.
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 = 13271068705440/(1x884)
LCM = 13271068705440/884
LCM = 15012521160
Thus, we can understand that the LCM of 213,238,578,520,871 is 15012521160.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 213, 238, 578, 520, 871
1. What is the LCM of 213, 238, 578, 520, 871?
Answer: LCM of 213, 238, 578, 520, 871 is 15012521160.
2. How to calculate the LCM of 213, 238, 578, 520, 871?
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 213, 238, 578, 520, 871.
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}.