LCM of 575, 494, 969, 735, 960
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 575, 494, 969, 735, 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 575, 494, 969, 735, 960. So, keep reading to learn more.
Given numbers are 575,494,969,735,960
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 575,494,969,735,960 is 22714910400.
Find LCM of 575,494,969,735,960 with Prime Factorization
| 2 | 575, 494, 969, 735, 960 |
| 3 | 575, 247, 969, 735, 480 |
| 5 | 575, 247, 323, 245, 160 |
| 19 | 115, 247, 323, 49, 32 |
| 115, 13, 17, 49, 32 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 19 x 115 x 13 x 17 x 49 x 32 = 22714910400
Therefore, the lowest common multiple of 575,494,969,735,960 is 22714910400.
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.
575 x 494 x 969 x 735 x 960 = 194212483920000
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.
575 : 1, 5, 23, 25, 115, 575
494 : 1, 2, 13, 19, 26, 38, 247, 494
969 : 1, 3, 17, 19, 51, 57, 323, 969
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
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
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 575,494,969,735,960, is 1.
Now, the common factors can be found like this.
575:5x 5x 23
494:2x 13x 19
969:3x 17x 19
735:3x 5x 7x 7
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 3x 3x 5x 5x 19 = 8550
Therefore, the value for common factors is 8550.
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 = 194212483920000/(1x8550)
LCM = 194212483920000/8550
LCM = 22714910400
Thus, we can understand that the LCM of 575,494,969,735,960 is 22714910400.
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FAQs on LCM of 575, 494, 969, 735, 960
1. What is the LCM of 575, 494, 969, 735, 960?
Answer: LCM of 575, 494, 969, 735, 960 is 22714910400.
2. How to calculate the LCM of 575, 494, 969, 735, 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 575, 494, 969, 735, 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}.