LCM of 614, 548, 268, 588
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 614, 548, 268, 588 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 614, 548, 268, 588. So, keep reading to learn more.
Given numbers are 614,548,268,588
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 614,548,268,588 is 1656956364.
Find LCM of 614,548,268,588 with Prime Factorization
| 2 | 614, 548, 268, 588 |
| 2 | 307, 274, 134, 294 |
| 307, 137, 67, 147 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 307 x 137 x 67 x 147 = 1656956364
Therefore, the lowest common multiple of 614,548,268,588 is 1656956364.
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.
614 x 548 x 268 x 588 = 53022603648
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.
614 : 1, 2, 307, 614
548 : 1, 2, 4, 137, 274, 548
268 : 1, 2, 4, 67, 134, 268
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 614,548,268,588, is 2.
Now, the common factors can be found like this.
614:2x 307
548:2x 2x 137
268:2x 2x 67
588:2x 2x 3x 7x 7
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 2 = 16
Therefore, the value for common factors is 16.
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 = 53022603648/(2x16)
LCM = 53022603648/32
LCM = 1656956364
Thus, we can understand that the LCM of 614,548,268,588 is 1656956364.
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FAQs on LCM of 614, 548, 268, 588
1. What is the LCM of 614, 548, 268, 588?
Answer: LCM of 614, 548, 268, 588 is 1656956364.
2. How to calculate the LCM of 614, 548, 268, 588?
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 614, 548, 268, 588.
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}.