LCM of 576, 849, 735, 705, 342
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 576, 849, 735, 705, 342 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 576, 849, 735, 705, 342. So, keep reading to learn more.
Given numbers are 576,849,735,705,342
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 576,849,735,705,342 is 35663705280.
Find LCM of 576,849,735,705,342 with Prime Factorization
| 2 | 576, 849, 735, 705, 342 |
| 3 | 288, 849, 735, 705, 171 |
| 3 | 96, 283, 245, 235, 57 |
| 5 | 32, 283, 245, 235, 19 |
| 32, 283, 49, 47, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 32 x 283 x 49 x 47 x 19 = 35663705280
Therefore, the lowest common multiple of 576,849,735,705,342 is 35663705280.
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.
576 x 849 x 735 x 705 x 342 = 86662803830400
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.
576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
849 : 1, 3, 283, 849
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
705 : 1, 3, 5, 15, 47, 141, 235, 705
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 576,849,735,705,342, is 3.
Now, the common factors can be found like this.
576:2x 2x 2x 2x 2x 2x 3x 3
849:3x 283
735:3x 5x 7x 7
705:3x 5x 47
342:2x 3x 3x 19
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 3x 3x 5 = 810
Therefore, the value for common factors is 810.
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 = 86662803830400/(3x810)
LCM = 86662803830400/2430
LCM = 35663705280
Thus, we can understand that the LCM of 576,849,735,705,342 is 35663705280.
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FAQs on LCM of 576, 849, 735, 705, 342
1. What is the LCM of 576, 849, 735, 705, 342?
Answer: LCM of 576, 849, 735, 705, 342 is 35663705280.
2. How to calculate the LCM of 576, 849, 735, 705, 342?
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 576, 849, 735, 705, 342.
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}.