LCM of 672, 510, 232, 206, 574
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 672, 510, 232, 206, 574 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 672, 510, 232, 206, 574. So, keep reading to learn more.
Given numbers are 672,510,232,206,574
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 672,510,232,206,574 is 6995315040.
Find LCM of 672,510,232,206,574 with Prime Factorization
| 2 | 672, 510, 232, 206, 574 |
| 2 | 336, 255, 116, 103, 287 |
| 2 | 168, 255, 58, 103, 287 |
| 3 | 84, 255, 29, 103, 287 |
| 7 | 28, 85, 29, 103, 287 |
| 4, 85, 29, 103, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 4 x 85 x 29 x 103 x 41 = 6995315040
Therefore, the lowest common multiple of 672,510,232,206,574 is 6995315040.
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.
672 x 510 x 232 x 206 x 574 = 9401703413760
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.
672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
232 : 1, 2, 4, 8, 29, 58, 116, 232
206 : 1, 2, 103, 206
574 : 1, 2, 7, 14, 41, 82, 287, 574
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 672,510,232,206,574, is 2.
Now, the common factors can be found like this.
672:2x 2x 2x 2x 2x 3x 7
510:2x 3x 5x 17
232:2x 2x 2x 29
206:2x 103
574:2x 7x 41
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 3x 7 = 672
Therefore, the value for common factors is 672.
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 = 9401703413760/(2x672)
LCM = 9401703413760/1344
LCM = 6995315040
Thus, we can understand that the LCM of 672,510,232,206,574 is 6995315040.
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FAQs on LCM of 672, 510, 232, 206, 574
1. What is the LCM of 672, 510, 232, 206, 574?
Answer: LCM of 672, 510, 232, 206, 574 is 6995315040.
2. How to calculate the LCM of 672, 510, 232, 206, 574?
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 672, 510, 232, 206, 574.
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}.