LCM of 596, 672, 220, 106, 960
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 596, 672, 220, 106, 960 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 596, 672, 220, 106, 960. So, keep reading to learn more.
Given numbers are 596,672,220,106,960
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 596,672,220,106,960 is 583746240.
Find LCM of 596,672,220,106,960 with Prime Factorization
| 2 | 596, 672, 220, 106, 960 |
| 2 | 298, 336, 110, 53, 480 |
| 2 | 149, 168, 55, 53, 240 |
| 2 | 149, 84, 55, 53, 120 |
| 2 | 149, 42, 55, 53, 60 |
| 3 | 149, 21, 55, 53, 30 |
| 5 | 149, 7, 55, 53, 10 |
| 149, 7, 11, 53, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 3 x 5 x 149 x 7 x 11 x 53 x 2 = 583746240
Therefore, the lowest common multiple of 596,672,220,106,960 is 583746240.
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.
596 x 672 x 220 x 106 x 960 = 8966342246400
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.
596 : 1, 2, 4, 149, 298, 596
672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
106 : 1, 2, 53, 106
960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 596,672,220,106,960, is 2.
Now, the common factors can be found like this.
596:2x 2x 149
672:2x 2x 2x 2x 2x 3x 7
220:2x 2x 5x 11
106:2x 53
960:2x 2x 2x 2x 2x 2x 3x 5
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 2x 2x 2x 3x 5 = 7680
Therefore, the value for common factors is 7680.
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 = 8966342246400/(2x7680)
LCM = 8966342246400/15360
LCM = 583746240
Thus, we can understand that the LCM of 596,672,220,106,960 is 583746240.
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FAQs on LCM of 596, 672, 220, 106, 960
1. What is the LCM of 596, 672, 220, 106, 960?
Answer: LCM of 596, 672, 220, 106, 960 is 583746240.
2. How to calculate the LCM of 596, 672, 220, 106, 960?
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 596, 672, 220, 106, 960.
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}.