LCM of 589, 614, 947, 276, 614
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 589, 614, 947, 276, 614 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 589, 614, 947, 276, 614. So, keep reading to learn more.
Given numbers are 589,614,947,276,614
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 589,614,947,276,614 is 47262069156.
Find LCM of 589,614,947,276,614 with Prime Factorization
| 2 | 589, 614, 947, 276, 614 |
| 307 | 589, 307, 947, 138, 307 |
| 589, 1, 947, 138, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 307 x 589 x 1 x 947 x 138 x 1 = 47262069156
Therefore, the lowest common multiple of 589,614,947,276,614 is 47262069156.
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.
589 x 614 x 947 x 276 x 614 = 58037820923568
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.
589 : 1, 19, 31, 589
614 : 1, 2, 307, 614
947 : 1, 947
276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
614 : 1, 2, 307, 614
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 589,614,947,276,614, is 1.
Now, the common factors can be found like this.
589:19x 31
614:2x 307
947:947
276:2x 2x 3x 23
614:2x 307
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 307 = 1228
Therefore, the value for common factors is 1228.
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 = 58037820923568/(1x1228)
LCM = 58037820923568/1228
LCM = 47262069156
Thus, we can understand that the LCM of 589,614,947,276,614 is 47262069156.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 589, 614, 947, 276, 614
1. What is the LCM of 589, 614, 947, 276, 614?
Answer: LCM of 589, 614, 947, 276, 614 is 47262069156.
2. How to calculate the LCM of 589, 614, 947, 276, 614?
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 589, 614, 947, 276, 614.
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}.