LCM of 946, 678, 707, 516, 512
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 946, 678, 707, 516, 512 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 946, 678, 707, 516, 512. So, keep reading to learn more.
Given numbers are 946,678,707,516,512
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 946,678,707,516,512 is 58043048448.
Find LCM of 946,678,707,516,512 with Prime Factorization
| 2 | 946, 678, 707, 516, 512 |
| 2 | 473, 339, 707, 258, 256 |
| 3 | 473, 339, 707, 129, 128 |
| 43 | 473, 113, 707, 43, 128 |
| 11, 113, 707, 1, 128 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 43 x 11 x 113 x 707 x 1 x 128 = 58043048448
Therefore, the lowest common multiple of 946,678,707,516,512 is 58043048448.
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.
946 x 678 x 707 x 516 x 512 = 119800851996672
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.
946 : 1, 2, 11, 22, 43, 86, 473, 946
678 : 1, 2, 3, 6, 113, 226, 339, 678
707 : 1, 7, 101, 707
516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 946,678,707,516,512, is 1.
Now, the common factors can be found like this.
946:2x 11x 43
678:2x 3x 113
707:7x 101
516:2x 2x 3x 43
512:2x 2x 2x 2x 2x 2x 2x 2x 2
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 3x 43 = 2064
Therefore, the value for common factors is 2064.
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 = 119800851996672/(1x2064)
LCM = 119800851996672/2064
LCM = 58043048448
Thus, we can understand that the LCM of 946,678,707,516,512 is 58043048448.
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FAQs on LCM of 946, 678, 707, 516, 512
1. What is the LCM of 946, 678, 707, 516, 512?
Answer: LCM of 946, 678, 707, 516, 512 is 58043048448.
2. How to calculate the LCM of 946, 678, 707, 516, 512?
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 946, 678, 707, 516, 512.
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}.