LCM of 428, 973, 350, 360, 963
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 428, 973, 350, 360, 963 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 428, 973, 350, 360, 963. So, keep reading to learn more.
Given numbers are 428,973,350,360,963
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 428,973,350,360,963 is 187399800.
Find LCM of 428,973,350,360,963 with Prime Factorization
| 2 | 428, 973, 350, 360, 963 |
| 2 | 214, 973, 175, 180, 963 |
| 3 | 107, 973, 175, 90, 963 |
| 3 | 107, 973, 175, 30, 321 |
| 5 | 107, 973, 175, 10, 107 |
| 7 | 107, 973, 35, 2, 107 |
| 107 | 107, 139, 5, 2, 107 |
| 1, 139, 5, 2, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 7 x 107 x 1 x 139 x 5 x 2 x 1 = 187399800
Therefore, the lowest common multiple of 428,973,350,360,963 is 187399800.
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.
428 x 973 x 350 x 360 x 963 = 50530482072000
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.
428 : 1, 2, 4, 107, 214, 428
973 : 1, 7, 139, 973
350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
963 : 1, 3, 9, 107, 321, 963
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 428,973,350,360,963, is 1.
Now, the common factors can be found like this.
428:2x 2x 107
973:7x 139
350:2x 5x 5x 7
360:2x 2x 2x 3x 3x 5
963:3x 3x 107
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 3x 3x 5x 7x 107 = 269640
Therefore, the value for common factors is 269640.
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 = 50530482072000/(1x269640)
LCM = 50530482072000/269640
LCM = 187399800
Thus, we can understand that the LCM of 428,973,350,360,963 is 187399800.
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FAQs on LCM of 428, 973, 350, 360, 963
1. What is the LCM of 428, 973, 350, 360, 963?
Answer: LCM of 428, 973, 350, 360, 963 is 187399800.
2. How to calculate the LCM of 428, 973, 350, 360, 963?
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 428, 973, 350, 360, 963.
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}.