LCM of 478, 120, 927, 840, 458
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 478, 120, 927, 840, 458 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 478, 120, 927, 840, 458. So, keep reading to learn more.
Given numbers are 478,120,927,840,458
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 478,120,927,840,458 is 14205978360.
Find LCM of 478,120,927,840,458 with Prime Factorization
| 2 | 478, 120, 927, 840, 458 |
| 2 | 239, 60, 927, 420, 229 |
| 2 | 239, 30, 927, 210, 229 |
| 3 | 239, 15, 927, 105, 229 |
| 5 | 239, 5, 309, 35, 229 |
| 239, 1, 309, 7, 229 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 239 x 1 x 309 x 7 x 229 = 14205978360
Therefore, the lowest common multiple of 478,120,927,840,458 is 14205978360.
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.
478 x 120 x 927 x 840 x 458 = 20456608838400
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.
478 : 1, 2, 239, 478
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
927 : 1, 3, 9, 103, 309, 927
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
458 : 1, 2, 229, 458
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 478,120,927,840,458, is 1.
Now, the common factors can be found like this.
478:2x 239
120:2x 2x 2x 3x 5
927:3x 3x 103
840:2x 2x 2x 3x 5x 7
458:2x 229
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 3x 3x 5 = 1440
Therefore, the value for common factors is 1440.
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 = 20456608838400/(1x1440)
LCM = 20456608838400/1440
LCM = 14205978360
Thus, we can understand that the LCM of 478,120,927,840,458 is 14205978360.
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FAQs on LCM of 478, 120, 927, 840, 458
1. What is the LCM of 478, 120, 927, 840, 458?
Answer: LCM of 478, 120, 927, 840, 458 is 14205978360.
2. How to calculate the LCM of 478, 120, 927, 840, 458?
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 478, 120, 927, 840, 458.
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}.