LCM of 421, 946, 666, 504, 973
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 421, 946, 666, 504, 973 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 421, 946, 666, 504, 973. So, keep reading to learn more.
Given numbers are 421,946,666,504,973
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 421,946,666,504,973 is 516167073576.
Find LCM of 421,946,666,504,973 with Prime Factorization
| 2 | 421, 946, 666, 504, 973 |
| 3 | 421, 473, 333, 252, 973 |
| 3 | 421, 473, 111, 84, 973 |
| 7 | 421, 473, 37, 28, 973 |
| 421, 473, 37, 4, 139 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 7 x 421 x 473 x 37 x 4 x 139 = 516167073576
Therefore, the lowest common multiple of 421,946,666,504,973 is 516167073576.
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.
421 x 946 x 666 x 504 x 973 = 130074102541152
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.
421 : 1, 421
946 : 1, 2, 11, 22, 43, 86, 473, 946
666 : 1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666
504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
973 : 1, 7, 139, 973
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 421,946,666,504,973, is 1.
Now, the common factors can be found like this.
421:421
946:2x 11x 43
666:2x 3x 3x 37
504:2x 2x 2x 3x 3x 7
973:7x 139
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 3x 3x 7 = 252
Therefore, the value for common factors is 252.
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 = 130074102541152/(1x252)
LCM = 130074102541152/252
LCM = 516167073576
Thus, we can understand that the LCM of 421,946,666,504,973 is 516167073576.
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FAQs on LCM of 421, 946, 666, 504, 973
1. What is the LCM of 421, 946, 666, 504, 973?
Answer: LCM of 421, 946, 666, 504, 973 is 516167073576.
2. How to calculate the LCM of 421, 946, 666, 504, 973?
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 421, 946, 666, 504, 973.
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}.