LCM of 476, 946, 364, 516, 704
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 476, 946, 364, 516, 704 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 476, 946, 364, 516, 704. So, keep reading to learn more.
Given numbers are 476,946,364,516,704
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 476,946,364,516,704 is 140492352.
Find LCM of 476,946,364,516,704 with Prime Factorization
| 2 | 476, 946, 364, 516, 704 |
| 2 | 238, 473, 182, 258, 352 |
| 7 | 119, 473, 91, 129, 176 |
| 11 | 17, 473, 13, 129, 176 |
| 43 | 17, 43, 13, 129, 16 |
| 17, 1, 13, 3, 16 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 11 x 43 x 17 x 1 x 13 x 3 x 16 = 140492352
Therefore, the lowest common multiple of 476,946,364,516,704 is 140492352.
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.
476 x 946 x 364 x 516 x 704 = 59541782716416
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.
476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
946 : 1, 2, 11, 22, 43, 86, 473, 946
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 476,946,364,516,704, is 2.
Now, the common factors can be found like this.
476:2x 2x 7x 17
946:2x 11x 43
364:2x 2x 7x 13
516:2x 2x 3x 43
704:2x 2x 2x 2x 2x 2x 11
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 2x 7x 11x 43 = 211904
Therefore, the value for common factors is 211904.
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 = 59541782716416/(2x211904)
LCM = 59541782716416/423808
LCM = 140492352
Thus, we can understand that the LCM of 476,946,364,516,704 is 140492352.
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FAQs on LCM of 476, 946, 364, 516, 704
1. What is the LCM of 476, 946, 364, 516, 704?
Answer: LCM of 476, 946, 364, 516, 704 is 140492352.
2. How to calculate the LCM of 476, 946, 364, 516, 704?
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 476, 946, 364, 516, 704.
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}.