LCM of 471, 946, 322, 420, 473
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 471, 946, 322, 420, 473 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 471, 946, 322, 420, 473. So, keep reading to learn more.
Given numbers are 471,946,322,420,473
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 471,946,322,420,473 is 717361260.
Find LCM of 471,946,322,420,473 with Prime Factorization
| 2 | 471, 946, 322, 420, 473 |
| 3 | 471, 473, 161, 210, 473 |
| 7 | 157, 473, 161, 70, 473 |
| 11 | 157, 473, 23, 10, 473 |
| 43 | 157, 43, 23, 10, 43 |
| 157, 1, 23, 10, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 11 x 43 x 157 x 1 x 23 x 10 x 1 = 717361260
Therefore, the lowest common multiple of 471,946,322,420,473 is 717361260.
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.
471 x 946 x 322 x 420 x 473 = 28502197582320
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.
471 : 1, 3, 157, 471
946 : 1, 2, 11, 22, 43, 86, 473, 946
322 : 1, 2, 7, 14, 23, 46, 161, 322
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
473 : 1, 11, 43, 473
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 471,946,322,420,473, is 1.
Now, the common factors can be found like this.
471:3x 157
946:2x 11x 43
322:2x 7x 23
420:2x 2x 3x 5x 7
473:11x 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 3x 7x 11x 43 = 39732
Therefore, the value for common factors is 39732.
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 = 28502197582320/(1x39732)
LCM = 28502197582320/39732
LCM = 717361260
Thus, we can understand that the LCM of 471,946,322,420,473 is 717361260.
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FAQs on LCM of 471, 946, 322, 420, 473
1. What is the LCM of 471, 946, 322, 420, 473?
Answer: LCM of 471, 946, 322, 420, 473 is 717361260.
2. How to calculate the LCM of 471, 946, 322, 420, 473?
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 471, 946, 322, 420, 473.
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}.