LCM of 900, 417, 476, 470, 978
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 900, 417, 476, 470, 978 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 900, 417, 476, 470, 978. So, keep reading to learn more.
Given numbers are 900,417,476,470,978
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 900,417,476,470,978 is 114048540900.
Find LCM of 900,417,476,470,978 with Prime Factorization
| 2 | 900, 417, 476, 470, 978 |
| 2 | 450, 417, 238, 235, 489 |
| 3 | 225, 417, 119, 235, 489 |
| 5 | 75, 139, 119, 235, 163 |
| 15, 139, 119, 47, 163 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 15 x 139 x 119 x 47 x 163 = 114048540900
Therefore, the lowest common multiple of 900,417,476,470,978 is 114048540900.
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.
900 x 417 x 476 x 470 x 978 = 82114949448000
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.
900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
417 : 1, 3, 139, 417
476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
470 : 1, 2, 5, 10, 47, 94, 235, 470
978 : 1, 2, 3, 6, 163, 326, 489, 978
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 900,417,476,470,978, is 1.
Now, the common factors can be found like this.
900:2x 2x 3x 3x 5x 5
417:3x 139
476:2x 2x 7x 17
470:2x 5x 47
978:2x 3x 163
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 3x 5 = 720
Therefore, the value for common factors is 720.
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 = 82114949448000/(1x720)
LCM = 82114949448000/720
LCM = 114048540900
Thus, we can understand that the LCM of 900,417,476,470,978 is 114048540900.
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FAQs on LCM of 900, 417, 476, 470, 978
1. What is the LCM of 900, 417, 476, 470, 978?
Answer: LCM of 900, 417, 476, 470, 978 is 114048540900.
2. How to calculate the LCM of 900, 417, 476, 470, 978?
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 900, 417, 476, 470, 978.
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}.