LCM of 571, 898, 672, 231, 758
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 571, 898, 672, 231, 758 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 571, 898, 672, 231, 758. So, keep reading to learn more.
Given numbers are 571,898,672,231,758
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 571,898,672,231,758 is 718263202272.
Find LCM of 571,898,672,231,758 with Prime Factorization
| 2 | 571, 898, 672, 231, 758 |
| 3 | 571, 449, 336, 231, 379 |
| 7 | 571, 449, 112, 77, 379 |
| 571, 449, 16, 11, 379 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 571 x 449 x 16 x 11 x 379 = 718263202272
Therefore, the lowest common multiple of 571,898,672,231,758 is 718263202272.
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.
571 x 898 x 672 x 231 x 758 = 60334108990848
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.
571 : 1, 571
898 : 1, 2, 449, 898
672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
231 : 1, 3, 7, 11, 21, 33, 77, 231
758 : 1, 2, 379, 758
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 571,898,672,231,758, is 1.
Now, the common factors can be found like this.
571:571
898:2x 449
672:2x 2x 2x 2x 2x 3x 7
231:3x 7x 11
758:2x 379
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 7 = 84
Therefore, the value for common factors is 84.
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 = 60334108990848/(1x84)
LCM = 60334108990848/84
LCM = 718263202272
Thus, we can understand that the LCM of 571,898,672,231,758 is 718263202272.
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FAQs on LCM of 571, 898, 672, 231, 758
1. What is the LCM of 571, 898, 672, 231, 758?
Answer: LCM of 571, 898, 672, 231, 758 is 718263202272.
2. How to calculate the LCM of 571, 898, 672, 231, 758?
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 571, 898, 672, 231, 758.
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}.