LCM of 576, 462, 340, 748
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 576, 462, 340, 748 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, 462, 340, 748. So, keep reading to learn more.
Given numbers are 576,462,340,748
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 576,462,340,748 is 3769920.
Find LCM of 576,462,340,748 with Prime Factorization
| 2 | 576, 462, 340, 748 |
| 2 | 288, 231, 170, 374 |
| 3 | 144, 231, 85, 187 |
| 11 | 48, 77, 85, 187 |
| 17 | 48, 7, 85, 17 |
| 48, 7, 5, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 17 x 48 x 7 x 5 x 1 = 3769920
Therefore, the lowest common multiple of 576,462,340,748 is 3769920.
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 462 x 340 x 748 = 67677603840
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
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 576,462,340,748, is 2.
Now, the common factors can be found like this.
576:2x 2x 2x 2x 2x 2x 3x 3
462:2x 3x 7x 11
340:2x 2x 5x 17
748:2x 2x 11x 17
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 3x 11x 17 = 8976
Therefore, the value for common factors is 8976.
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 = 67677603840/(2x8976)
LCM = 67677603840/17952
LCM = 3769920
Thus, we can understand that the LCM of 576,462,340,748 is 3769920.
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FAQs on LCM of 576, 462, 340, 748
1. What is the LCM of 576, 462, 340, 748?
Answer: LCM of 576, 462, 340, 748 is 3769920.
2. How to calculate the LCM of 576, 462, 340, 748?
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, 462, 340, 748.
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}.