LCM of 558, 166, 578, 746, 468
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 558, 166, 578, 746, 468 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 558, 166, 578, 746, 468. So, keep reading to learn more.
Given numbers are 558,166,578,746,468
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 558,166,578,746,468 is 129805266708.
Find LCM of 558,166,578,746,468 with Prime Factorization
| 2 | 558, 166, 578, 746, 468 |
| 3 | 279, 83, 289, 373, 234 |
| 3 | 93, 83, 289, 373, 78 |
| 31, 83, 289, 373, 26 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 31 x 83 x 289 x 373 x 26 = 129805266708
Therefore, the lowest common multiple of 558,166,578,746,468 is 129805266708.
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.
558 x 166 x 578 x 746 x 468 = 18691958405952
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.
558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
166 : 1, 2, 83, 166
578 : 1, 2, 17, 34, 289, 578
746 : 1, 2, 373, 746
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 558,166,578,746,468, is 2.
Now, the common factors can be found like this.
558:2x 3x 3x 31
166:2x 83
578:2x 17x 17
746:2x 373
468:2x 2x 3x 3x 13
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 3x 3 = 72
Therefore, the value for common factors is 72.
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 = 18691958405952/(2x72)
LCM = 18691958405952/144
LCM = 129805266708
Thus, we can understand that the LCM of 558,166,578,746,468 is 129805266708.
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FAQs on LCM of 558, 166, 578, 746, 468
1. What is the LCM of 558, 166, 578, 746, 468?
Answer: LCM of 558, 166, 578, 746, 468 is 129805266708.
2. How to calculate the LCM of 558, 166, 578, 746, 468?
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 558, 166, 578, 746, 468.
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}.