LCM of 588, 278, 856, 681, 583
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 588, 278, 856, 681, 583 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 588, 278, 856, 681, 583. So, keep reading to learn more.
Given numbers are 588,278,856,681,583
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 588,278,856,681,583 is 2314729846968.
Find LCM of 588,278,856,681,583 with Prime Factorization
| 2 | 588, 278, 856, 681, 583 |
| 2 | 294, 139, 428, 681, 583 |
| 3 | 147, 139, 214, 681, 583 |
| 49, 139, 214, 227, 583 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 49 x 139 x 214 x 227 x 583 = 2314729846968
Therefore, the lowest common multiple of 588,278,856,681,583 is 2314729846968.
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.
588 x 278 x 856 x 681 x 583 = 55553516327232
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.
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
278 : 1, 2, 139, 278
856 : 1, 2, 4, 8, 107, 214, 428, 856
681 : 1, 3, 227, 681
583 : 1, 11, 53, 583
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 588,278,856,681,583, is 1.
Now, the common factors can be found like this.
588:2x 2x 3x 7x 7
278:2x 139
856:2x 2x 2x 107
681:3x 227
583:11x 53
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 3 = 24
Therefore, the value for common factors is 24.
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 = 55553516327232/(1x24)
LCM = 55553516327232/24
LCM = 2314729846968
Thus, we can understand that the LCM of 588,278,856,681,583 is 2314729846968.
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FAQs on LCM of 588, 278, 856, 681, 583
1. What is the LCM of 588, 278, 856, 681, 583?
Answer: LCM of 588, 278, 856, 681, 583 is 2314729846968.
2. How to calculate the LCM of 588, 278, 856, 681, 583?
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 588, 278, 856, 681, 583.
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}.