Find the LCM of 309, 671, 611, 569, 910 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 309, 671, 611, 569, 910. So, keep reading to learn more.
Given numbers are 309,671,611,569,910
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 309,671,611,569,910 is 5045828858070.
Find LCM of 309,671,611,569,910 with Prime Factorization
13 | 309, 671, 611, 569, 910 |
309, 671, 47, 569, 70 |
Multiply the prime numbers at the bottom and the left side.
13 x 309 x 671 x 47 x 569 x 70 = 5045828858070
Therefore, the lowest common multiple of 309,671,611,569,910 is 5045828858070.
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.
309 x 671 x 611 x 569 x 910 = 65595775154910
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.
309 : 1, 3, 103, 309
671 : 1, 11, 61, 671
611 : 1, 13, 47, 611
569 : 1, 569
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 309,671,611,569,910, is 1.
Now, the common factors can be found like this.
309:3x 103
671:11x 61
611:13x 47
569:569
910:2x 5x 7x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13 = 13
Therefore, the value for common factors is 13.
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 = 65595775154910/(1x13)
LCM = 65595775154910/13
LCM = 5045828858070
Thus, we can understand that the LCM of 309,671,611,569,910 is 5045828858070.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 309, 671, 611, 569, 910?
Answer: LCM of 309, 671, 611, 569, 910 is 5045828858070.
2. How to calculate the LCM of 309, 671, 611, 569, 910?
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 309, 671, 611, 569, 910.
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}.