LCM of 519, 546, 351, 742, 753
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 519, 546, 351, 742, 753 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 519, 546, 351, 742, 753. So, keep reading to learn more.
Given numbers are 519,546,351,742,753
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 519,546,351,742,753 is 11309172966.
Find LCM of 519,546,351,742,753 with Prime Factorization
| 2 | 519, 546, 351, 742, 753 |
| 3 | 519, 273, 351, 371, 753 |
| 7 | 173, 91, 117, 371, 251 |
| 13 | 173, 13, 117, 53, 251 |
| 173, 1, 9, 53, 251 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 13 x 173 x 1 x 9 x 53 x 251 = 11309172966
Therefore, the lowest common multiple of 519,546,351,742,753 is 11309172966.
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.
519 x 546 x 351 x 742 x 753 = 55573275954924
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.
519 : 1, 3, 173, 519
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
351 : 1, 3, 9, 13, 27, 39, 117, 351
742 : 1, 2, 7, 14, 53, 106, 371, 742
753 : 1, 3, 251, 753
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 519,546,351,742,753, is 1.
Now, the common factors can be found like this.
519:3x 173
546:2x 3x 7x 13
351:3x 3x 3x 13
742:2x 7x 53
753:3x 251
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 7x 13 = 4914
Therefore, the value for common factors is 4914.
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 = 55573275954924/(1x4914)
LCM = 55573275954924/4914
LCM = 11309172966
Thus, we can understand that the LCM of 519,546,351,742,753 is 11309172966.
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FAQs on LCM of 519, 546, 351, 742, 753
1. What is the LCM of 519, 546, 351, 742, 753?
Answer: LCM of 519, 546, 351, 742, 753 is 11309172966.
2. How to calculate the LCM of 519, 546, 351, 742, 753?
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 519, 546, 351, 742, 753.
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}.