LCM of 549, 339, 690, 925, 652
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 549, 339, 690, 925, 652 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 549, 339, 690, 925, 652. So, keep reading to learn more.
Given numbers are 549,339,690,925,652
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 549,339,690,925,652 is 860533838100.
Find LCM of 549,339,690,925,652 with Prime Factorization
| 2 | 549, 339, 690, 925, 652 |
| 3 | 549, 339, 345, 925, 326 |
| 5 | 183, 113, 115, 925, 326 |
| 183, 113, 23, 185, 326 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 183 x 113 x 23 x 185 x 326 = 860533838100
Therefore, the lowest common multiple of 549,339,690,925,652 is 860533838100.
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.
549 x 339 x 690 x 925 x 652 = 77448045429000
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.
549 : 1, 3, 9, 61, 183, 549
339 : 1, 3, 113, 339
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
925 : 1, 5, 25, 37, 185, 925
652 : 1, 2, 4, 163, 326, 652
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 549,339,690,925,652, is 1.
Now, the common factors can be found like this.
549:3x 3x 61
339:3x 113
690:2x 3x 5x 23
925:5x 5x 37
652:2x 2x 163
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 5 = 90
Therefore, the value for common factors is 90.
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 = 77448045429000/(1x90)
LCM = 77448045429000/90
LCM = 860533838100
Thus, we can understand that the LCM of 549,339,690,925,652 is 860533838100.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 549, 339, 690, 925, 652
1. What is the LCM of 549, 339, 690, 925, 652?
Answer: LCM of 549, 339, 690, 925, 652 is 860533838100.
2. How to calculate the LCM of 549, 339, 690, 925, 652?
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 549, 339, 690, 925, 652.
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}.