LCM of 963, 546, 364, 392, 591
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 963, 546, 364, 392, 591 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 963, 546, 364, 392, 591. So, keep reading to learn more.
Given numbers are 963,546,364,392,591
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 963,546,364,392,591 is 966767256.
Find LCM of 963,546,364,392,591 with Prime Factorization
| 2 | 963, 546, 364, 392, 591 |
| 2 | 963, 273, 182, 196, 591 |
| 3 | 963, 273, 91, 98, 591 |
| 7 | 321, 91, 91, 98, 197 |
| 13 | 321, 13, 13, 14, 197 |
| 321, 1, 1, 14, 197 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 13 x 321 x 1 x 1 x 14 x 197 = 966767256
Therefore, the lowest common multiple of 963,546,364,392,591 is 966767256.
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.
963 x 546 x 364 x 392 x 591 = 44339813429184
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.
963 : 1, 3, 9, 107, 321, 963
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
591 : 1, 3, 197, 591
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 963,546,364,392,591, is 1.
Now, the common factors can be found like this.
963:3x 3x 107
546:2x 3x 7x 13
364:2x 2x 7x 13
392:2x 2x 2x 7x 7
591:3x 197
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 3x 3x 7x 7x 13 = 45864
Therefore, the value for common factors is 45864.
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 = 44339813429184/(1x45864)
LCM = 44339813429184/45864
LCM = 966767256
Thus, we can understand that the LCM of 963,546,364,392,591 is 966767256.
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FAQs on LCM of 963, 546, 364, 392, 591
1. What is the LCM of 963, 546, 364, 392, 591?
Answer: LCM of 963, 546, 364, 392, 591 is 966767256.
2. How to calculate the LCM of 963, 546, 364, 392, 591?
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 963, 546, 364, 392, 591.
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}.