Find the LCM of 851, 720, 529, 509, 274 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 851, 720, 529, 509, 274. So, keep reading to learn more.
Given numbers are 851,720,529,509,274
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 851,720,529,509,274 is 982716486480.
Find LCM of 851,720,529,509,274 with Prime Factorization
2 | 851, 720, 529, 509, 274 |
23 | 851, 360, 529, 509, 137 |
37, 360, 23, 509, 137 |
Multiply the prime numbers at the bottom and the left side.
2 x 23 x 37 x 360 x 23 x 509 x 137 = 982716486480
Therefore, the lowest common multiple of 851,720,529,509,274 is 982716486480.
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.
851 x 720 x 529 x 509 x 274 = 45204958378080
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.
851 : 1, 23, 37, 851
720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
529 : 1, 23, 529
509 : 1, 509
274 : 1, 2, 137, 274
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 851,720,529,509,274, is 1.
Now, the common factors can be found like this.
851:23x 37
720:2x 2x 2x 2x 3x 3x 5
529:23x 23
509:509
274:2x 137
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 23 = 46
Therefore, the value for common factors is 46.
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 = 45204958378080/(1x46)
LCM = 45204958378080/46
LCM = 982716486480
Thus, we can understand that the LCM of 851,720,529,509,274 is 982716486480.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 851, 720, 529, 509, 274?
Answer: LCM of 851, 720, 529, 509, 274 is 982716486480.
2. How to calculate the LCM of 851, 720, 529, 509, 274?
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 851, 720, 529, 509, 274.
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}.