LCM of 210, 493, 973, 522
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 210, 493, 973, 522 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 210, 493, 973, 522. So, keep reading to learn more.
Given numbers are 210,493,973,522
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 210,493,973,522 is 43172010.
Find LCM of 210,493,973,522 with Prime Factorization
| 2 | 210, 493, 973, 522 |
| 3 | 105, 493, 973, 261 |
| 7 | 35, 493, 973, 87 |
| 29 | 5, 493, 139, 87 |
| 5, 17, 139, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 29 x 5 x 17 x 139 x 3 = 43172010
Therefore, the lowest common multiple of 210,493,973,522 is 43172010.
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.
210 x 493 x 973 x 522 = 52583508180
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.
210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
493 : 1, 17, 29, 493
973 : 1, 7, 139, 973
522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 210,493,973,522, is 1.
Now, the common factors can be found like this.
210:2x 3x 5x 7
493:17x 29
973:7x 139
522:2x 3x 3x 29
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 7x 29 = 1218
Therefore, the value for common factors is 1218.
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 = 52583508180/(1x1218)
LCM = 52583508180/1218
LCM = 43172010
Thus, we can understand that the LCM of 210,493,973,522 is 43172010.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 210, 493, 973, 522
1. What is the LCM of 210, 493, 973, 522?
Answer: LCM of 210, 493, 973, 522 is 43172010.
2. How to calculate the LCM of 210, 493, 973, 522?
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 210, 493, 973, 522.
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}.