LCM of 594, 768, 448, 741
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 594, 768, 448, 741 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 594, 768, 448, 741. So, keep reading to learn more.
Given numbers are 594,768,448,741
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 594,768,448,741 is 131459328.
Find LCM of 594,768,448,741 with Prime Factorization
| 2 | 594, 768, 448, 741 |
| 2 | 297, 384, 224, 741 |
| 2 | 297, 192, 112, 741 |
| 2 | 297, 96, 56, 741 |
| 2 | 297, 48, 28, 741 |
| 2 | 297, 24, 14, 741 |
| 3 | 297, 12, 7, 741 |
| 99, 4, 7, 247 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 2 x 3 x 99 x 4 x 7 x 247 = 131459328
Therefore, the lowest common multiple of 594,768,448,741 is 131459328.
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.
594 x 768 x 448 x 741 = 151441145856
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.
594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
741 : 1, 3, 13, 19, 39, 57, 247, 741
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 594,768,448,741, is 1.
Now, the common factors can be found like this.
594:2x 3x 3x 3x 11
768:2x 2x 2x 2x 2x 2x 2x 2x 3
448:2x 2x 2x 2x 2x 2x 7
741:3x 13x 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 2x 2x 2x 2x 2x 2x 3x 3 = 1152
Therefore, the value for common factors is 1152.
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 = 151441145856/(1x1152)
LCM = 151441145856/1152
LCM = 131459328
Thus, we can understand that the LCM of 594,768,448,741 is 131459328.
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FAQs on LCM of 594, 768, 448, 741
1. What is the LCM of 594, 768, 448, 741?
Answer: LCM of 594, 768, 448, 741 is 131459328.
2. How to calculate the LCM of 594, 768, 448, 741?
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 594, 768, 448, 741.
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}.