LCM of 964, 504, 336, 754, 786
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 964, 504, 336, 754, 786 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 964, 504, 336, 754, 786. So, keep reading to learn more.
Given numbers are 964,504,336,754,786
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 964,504,336,754,786 is 11997485136.
Find LCM of 964,504,336,754,786 with Prime Factorization
| 2 | 964, 504, 336, 754, 786 |
| 2 | 482, 252, 168, 377, 393 |
| 2 | 241, 126, 84, 377, 393 |
| 3 | 241, 63, 42, 377, 393 |
| 7 | 241, 21, 14, 377, 131 |
| 241, 3, 2, 377, 131 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 241 x 3 x 2 x 377 x 131 = 11997485136
Therefore, the lowest common multiple of 964,504,336,754,786 is 11997485136.
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.
964 x 504 x 336 x 754 x 786 = 96747720136704
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.
964 : 1, 2, 4, 241, 482, 964
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
336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
754 : 1, 2, 13, 26, 29, 58, 377, 754
786 : 1, 2, 3, 6, 131, 262, 393, 786
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 964,504,336,754,786, is 2.
Now, the common factors can be found like this.
964:2x 2x 241
504:2x 2x 2x 3x 3x 7
336:2x 2x 2x 2x 3x 7
754:2x 13x 29
786:2x 3x 131
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 3x 3x 7 = 4032
Therefore, the value for common factors is 4032.
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 = 96747720136704/(2x4032)
LCM = 96747720136704/8064
LCM = 11997485136
Thus, we can understand that the LCM of 964,504,336,754,786 is 11997485136.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 964, 504, 336, 754, 786
1. What is the LCM of 964, 504, 336, 754, 786?
Answer: LCM of 964, 504, 336, 754, 786 is 11997485136.
2. How to calculate the LCM of 964, 504, 336, 754, 786?
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 964, 504, 336, 754, 786.
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}.