LCM of 912, 600, 378, 113, 451
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 912, 600, 378, 113, 451 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, 600, 378, 113, 451. So, keep reading to learn more.
Given numbers are 912,600,378,113,451
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 912,600,378,113,451 is 73203253200.
Find LCM of 912,600,378,113,451 with Prime Factorization
| 2 | 912, 600, 378, 113, 451 |
| 2 | 456, 300, 189, 113, 451 |
| 2 | 228, 150, 189, 113, 451 |
| 3 | 114, 75, 189, 113, 451 |
| 38, 25, 63, 113, 451 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 38 x 25 x 63 x 113 x 451 = 73203253200
Therefore, the lowest common multiple of 912,600,378,113,451 is 73203253200.
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 600 x 378 x 113 x 451 = 10541268460800
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
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
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
113 : 1, 113
451 : 1, 11, 41, 451
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 912,600,378,113,451, is 1.
Now, the common factors can be found like this.
912:2x 2x 2x 2x 3x 19
600:2x 2x 2x 3x 5x 5
378:2x 3x 3x 3x 7
113:113
451:11x 41
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 3x 3 = 144
Therefore, the value for common factors is 144.
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 = 10541268460800/(1x144)
LCM = 10541268460800/144
LCM = 73203253200
Thus, we can understand that the LCM of 912,600,378,113,451 is 73203253200.
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FAQs on LCM of 912, 600, 378, 113, 451
1. What is the LCM of 912, 600, 378, 113, 451?
Answer: LCM of 912, 600, 378, 113, 451 is 73203253200.
2. How to calculate the LCM of 912, 600, 378, 113, 451?
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, 600, 378, 113, 451.
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}.