LCM of 925, 112, 600, 554, 746
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 925, 112, 600, 554, 746 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 925, 112, 600, 554, 746. So, keep reading to learn more.
Given numbers are 925,112,600,554,746
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 925,112,600,554,746 is 32112166800.
Find LCM of 925,112,600,554,746 with Prime Factorization
| 2 | 925, 112, 600, 554, 746 |
| 2 | 925, 56, 300, 277, 373 |
| 2 | 925, 28, 150, 277, 373 |
| 5 | 925, 14, 75, 277, 373 |
| 5 | 185, 14, 15, 277, 373 |
| 37, 14, 3, 277, 373 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 5 x 37 x 14 x 3 x 277 x 373 = 32112166800
Therefore, the lowest common multiple of 925,112,600,554,746 is 32112166800.
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.
925 x 112 x 600 x 554 x 746 = 25689733440000
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.
925 : 1, 5, 25, 37, 185, 925
112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112
600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
554 : 1, 2, 277, 554
746 : 1, 2, 373, 746
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 925,112,600,554,746, is 1.
Now, the common factors can be found like this.
925:5x 5x 37
112:2x 2x 2x 2x 7
600:2x 2x 2x 3x 5x 5
554:2x 277
746:2x 373
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 5x 5 = 800
Therefore, the value for common factors is 800.
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 = 25689733440000/(1x800)
LCM = 25689733440000/800
LCM = 32112166800
Thus, we can understand that the LCM of 925,112,600,554,746 is 32112166800.
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FAQs on LCM of 925, 112, 600, 554, 746
1. What is the LCM of 925, 112, 600, 554, 746?
Answer: LCM of 925, 112, 600, 554, 746 is 32112166800.
2. How to calculate the LCM of 925, 112, 600, 554, 746?
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 925, 112, 600, 554, 746.
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}.