LCM of 912, 464, 494, 746, 912
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 912, 464, 494, 746, 912 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 912, 464, 494, 746, 912. So, keep reading to learn more.
Given numbers are 912,464,494,746,912
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 912,464,494,746,912 is 128246352.
Find LCM of 912,464,494,746,912 with Prime Factorization
| 2 | 912, 464, 494, 746, 912 |
| 2 | 456, 232, 247, 373, 456 |
| 2 | 228, 116, 247, 373, 228 |
| 2 | 114, 58, 247, 373, 114 |
| 3 | 57, 29, 247, 373, 57 |
| 19 | 19, 29, 247, 373, 19 |
| 1, 29, 13, 373, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 19 x 1 x 29 x 13 x 373 x 1 = 128246352
Therefore, the lowest common multiple of 912,464,494,746,912 is 128246352.
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.
912 x 464 x 494 x 746 x 912 = 142224178397184
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.
912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464
494 : 1, 2, 13, 19, 26, 38, 247, 494
746 : 1, 2, 373, 746
912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 912,464,494,746,912, is 2.
Now, the common factors can be found like this.
912:2x 2x 2x 2x 3x 19
464:2x 2x 2x 2x 29
494:2x 13x 19
746:2x 373
912:2x 2x 2x 2x 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.
2x 2x 2x 2x 2x 2x 2x 2x 2x 3x 19x 19 = 554496
Therefore, the value for common factors is 554496.
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 = 142224178397184/(2x554496)
LCM = 142224178397184/1108992
LCM = 128246352
Thus, we can understand that the LCM of 912,464,494,746,912 is 128246352.
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FAQs on LCM of 912, 464, 494, 746, 912
1. What is the LCM of 912, 464, 494, 746, 912?
Answer: LCM of 912, 464, 494, 746, 912 is 128246352.
2. How to calculate the LCM of 912, 464, 494, 746, 912?
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 912, 464, 494, 746, 912.
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}.