LCM of 373, 450, 840, 845, 427
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 373, 450, 840, 845, 427 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 373, 450, 840, 845, 427. So, keep reading to learn more.
Given numbers are 373,450,840,845,427
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 373,450,840,845,427 is 48450238200.
Find LCM of 373,450,840,845,427 with Prime Factorization
| 2 | 373, 450, 840, 845, 427 |
| 3 | 373, 225, 420, 845, 427 |
| 5 | 373, 75, 140, 845, 427 |
| 7 | 373, 15, 28, 169, 427 |
| 373, 15, 4, 169, 61 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 373 x 15 x 4 x 169 x 61 = 48450238200
Therefore, the lowest common multiple of 373,450,840,845,427 is 48450238200.
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.
373 x 450 x 840 x 845 x 427 = 50872750110000
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.
373 : 1, 373
450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
845 : 1, 5, 13, 65, 169, 845
427 : 1, 7, 61, 427
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 373,450,840,845,427, is 1.
Now, the common factors can be found like this.
373:373
450:2x 3x 3x 5x 5
840:2x 2x 2x 3x 5x 7
845:5x 13x 13
427:7x 61
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5x 5x 7 = 1050
Therefore, the value for common factors is 1050.
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 = 50872750110000/(1x1050)
LCM = 50872750110000/1050
LCM = 48450238200
Thus, we can understand that the LCM of 373,450,840,845,427 is 48450238200.
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FAQs on LCM of 373, 450, 840, 845, 427
1. What is the LCM of 373, 450, 840, 845, 427?
Answer: LCM of 373, 450, 840, 845, 427 is 48450238200.
2. How to calculate the LCM of 373, 450, 840, 845, 427?
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 373, 450, 840, 845, 427.
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}.