Find the LCM of 337, 374, 430, 880, 561 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 337, 374, 430, 880, 561. So, keep reading to learn more.
Given numbers are 337,374,430,880,561
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 337,374,430,880,561 is 650356080.
Find LCM of 337,374,430,880,561 with Prime Factorization
2 | 337, 374, 430, 880, 561 |
5 | 337, 187, 215, 440, 561 |
11 | 337, 187, 43, 88, 561 |
17 | 337, 17, 43, 8, 51 |
337, 1, 43, 8, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 17 x 337 x 1 x 43 x 8 x 3 = 650356080
Therefore, the lowest common multiple of 337,374,430,880,561 is 650356080.
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.
337 x 374 x 430 x 880 x 561 = 26755649131200
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.
337 : 1, 337
374 : 1, 2, 11, 17, 22, 34, 187, 374
430 : 1, 2, 5, 10, 43, 86, 215, 430
880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
561 : 1, 3, 11, 17, 33, 51, 187, 561
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 337,374,430,880,561, is 1.
Now, the common factors can be found like this.
337:337
374:2x 11x 17
430:2x 5x 43
880:2x 2x 2x 2x 5x 11
561:3x 11x 17
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 5x 11x 11x 17 = 41140
Therefore, the value for common factors is 41140.
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 = 26755649131200/(1x41140)
LCM = 26755649131200/41140
LCM = 650356080
Thus, we can understand that the LCM of 337,374,430,880,561 is 650356080.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 337, 374, 430, 880, 561?
Answer: LCM of 337, 374, 430, 880, 561 is 650356080.
2. How to calculate the LCM of 337, 374, 430, 880, 561?
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 337, 374, 430, 880, 561.
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}.