LCM of 583, 239, 586, 342
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 583, 239, 586, 342 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 583, 239, 586, 342. So, keep reading to learn more.
Given numbers are 583,239,586,342
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 583,239,586,342 is 13962403422.
Find LCM of 583,239,586,342 with Prime Factorization
| 2 | 583, 239, 586, 342 |
| 583, 239, 293, 171 |
Multiply the prime numbers at the bottom and the left side.
2 x 583 x 239 x 293 x 171 = 13962403422
Therefore, the lowest common multiple of 583,239,586,342 is 13962403422.
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.
583 x 239 x 586 x 342 = 27924806844
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.
583 : 1, 11, 53, 583
239 : 1, 239
586 : 1, 2, 293, 586
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 583,239,586,342, is 1.
Now, the common factors can be found like this.
583:11x 53
239:239
586:2x 293
342:2x 3x 3x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 27924806844/(1x2)
LCM = 27924806844/2
LCM = 13962403422
Thus, we can understand that the LCM of 583,239,586,342 is 13962403422.
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FAQs on LCM of 583, 239, 586, 342
1. What is the LCM of 583, 239, 586, 342?
Answer: LCM of 583, 239, 586, 342 is 13962403422.
2. How to calculate the LCM of 583, 239, 586, 342?
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 583, 239, 586, 342.
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}.