LCM of 572, 680, 968, 871
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 572, 680, 968, 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 572, 680, 968, 871. So, keep reading to learn more.
Given numbers are 572,680,968,871
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 572,680,968,871 is 71665880.
Find LCM of 572,680,968,871 with Prime Factorization
| 2 | 572, 680, 968, 871 |
| 2 | 286, 340, 484, 871 |
| 2 | 143, 170, 242, 871 |
| 11 | 143, 85, 121, 871 |
| 13 | 13, 85, 11, 871 |
| 1, 85, 11, 67 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 11 x 13 x 1 x 85 x 11 x 67 = 71665880
Therefore, the lowest common multiple of 572,680,968,871 is 71665880.
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.
572 x 680 x 968 x 871 = 327943066880
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.
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
871 : 1, 13, 67, 871
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 572,680,968,871, is 1.
Now, the common factors can be found like this.
572:2x 2x 11x 13
680:2x 2x 2x 5x 17
968:2x 2x 2x 11x 11
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 2x 2x 2x 11x 13 = 4576
Therefore, the value for common factors is 4576.
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 = 327943066880/(1x4576)
LCM = 327943066880/4576
LCM = 71665880
Thus, we can understand that the LCM of 572,680,968,871 is 71665880.
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FAQs on LCM of 572, 680, 968, 871
1. What is the LCM of 572, 680, 968, 871?
Answer: LCM of 572, 680, 968, 871 is 71665880.
2. How to calculate the LCM of 572, 680, 968, 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 572, 680, 968, 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}.