LCM of 668, 746, 968, 900, 258
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 668, 746, 968, 900, 258 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 668, 746, 968, 900, 258. So, keep reading to learn more.
Given numbers are 668,746,968,900,258
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 668,746,968,900,258 is 583380131400.
Find LCM of 668,746,968,900,258 with Prime Factorization
| 2 | 668, 746, 968, 900, 258 |
| 2 | 334, 373, 484, 450, 129 |
| 3 | 167, 373, 242, 225, 129 |
| 167, 373, 242, 75, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 167 x 373 x 242 x 75 x 43 = 583380131400
Therefore, the lowest common multiple of 668,746,968,900,258 is 583380131400.
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.
668 x 746 x 968 x 900 x 258 = 112008985228800
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.
668 : 1, 2, 4, 167, 334, 668
746 : 1, 2, 373, 746
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
258 : 1, 2, 3, 6, 43, 86, 129, 258
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 668,746,968,900,258, is 2.
Now, the common factors can be found like this.
668:2x 2x 167
746:2x 373
968:2x 2x 2x 11x 11
900:2x 2x 3x 3x 5x 5
258:2x 3x 43
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 2x 2x 3 = 96
Therefore, the value for common factors is 96.
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 = 112008985228800/(2x96)
LCM = 112008985228800/192
LCM = 583380131400
Thus, we can understand that the LCM of 668,746,968,900,258 is 583380131400.
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FAQs on LCM of 668, 746, 968, 900, 258
1. What is the LCM of 668, 746, 968, 900, 258?
Answer: LCM of 668, 746, 968, 900, 258 is 583380131400.
2. How to calculate the LCM of 668, 746, 968, 900, 258?
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 668, 746, 968, 900, 258.
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}.