Find the LCM of 540, 754, 704, 850, 882 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 540, 754, 704, 850, 882. So, keep reading to learn more.
Given numbers are 540,754,704,850,882
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 540,754,704,850,882 is 149232283200.
Find LCM of 540,754,704,850,882 with Prime Factorization
2 | 540, 754, 704, 850, 882 |
2 | 270, 377, 352, 425, 441 |
3 | 135, 377, 176, 425, 441 |
3 | 45, 377, 176, 425, 147 |
5 | 15, 377, 176, 425, 49 |
3, 377, 176, 85, 49 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 3 x 377 x 176 x 85 x 49 = 149232283200
Therefore, the lowest common multiple of 540,754,704,850,882 is 149232283200.
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.
540 x 754 x 704 x 850 x 882 = 214894487808000
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.
540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
754 : 1, 2, 13, 26, 29, 58, 377, 754
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
850 : 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 540,754,704,850,882, is 2.
Now, the common factors can be found like this.
540:2x 2x 3x 3x 3x 5
754:2x 13x 29
704:2x 2x 2x 2x 2x 2x 11
850:2x 5x 5x 17
882:2x 3x 3x 7x 7
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 3x 5 = 720
Therefore, the value for common factors is 720.
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 = 214894487808000/(2x720)
LCM = 214894487808000/1440
LCM = 149232283200
Thus, we can understand that the LCM of 540,754,704,850,882 is 149232283200.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 540, 754, 704, 850, 882?
Answer: LCM of 540, 754, 704, 850, 882 is 149232283200.
2. How to calculate the LCM of 540, 754, 704, 850, 882?
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 540, 754, 704, 850, 882.
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}.