LCM of 417, 860, 456, 946
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 417, 860, 456, 946 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 417, 860, 456, 946. So, keep reading to learn more.
Given numbers are 417,860,456,946
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 417,860,456,946 is 149903160.
Find LCM of 417,860,456,946 with Prime Factorization
| 2 | 417, 860, 456, 946 |
| 2 | 417, 430, 228, 473 |
| 3 | 417, 215, 114, 473 |
| 43 | 139, 215, 38, 473 |
| 139, 5, 38, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 43 x 139 x 5 x 38 x 11 = 149903160
Therefore, the lowest common multiple of 417,860,456,946 is 149903160.
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.
417 x 860 x 456 x 946 = 154700061120
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.
417 : 1, 3, 139, 417
860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
946 : 1, 2, 11, 22, 43, 86, 473, 946
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 417,860,456,946, is 1.
Now, the common factors can be found like this.
417:3x 139
860:2x 2x 5x 43
456:2x 2x 2x 3x 19
946:2x 11x 43
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 43 = 1032
Therefore, the value for common factors is 1032.
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 = 154700061120/(1x1032)
LCM = 154700061120/1032
LCM = 149903160
Thus, we can understand that the LCM of 417,860,456,946 is 149903160.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 417, 860, 456, 946
1. What is the LCM of 417, 860, 456, 946?
Answer: LCM of 417, 860, 456, 946 is 149903160.
2. How to calculate the LCM of 417, 860, 456, 946?
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 417, 860, 456, 946.
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}.