Find the LCM of 959, 935, 140, 274, 671 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 959, 935, 140, 274, 671. So, keep reading to learn more.
Given numbers are 959,935,140,274,671
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 959,935,140,274,671 is 218786260.
Find LCM of 959,935,140,274,671 with Prime Factorization
2 | 959, 935, 140, 274, 671 |
5 | 959, 935, 70, 137, 671 |
7 | 959, 187, 14, 137, 671 |
11 | 137, 187, 2, 137, 671 |
137 | 137, 17, 2, 137, 61 |
1, 17, 2, 1, 61 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 11 x 137 x 1 x 17 x 2 x 1 x 61 = 218786260
Therefore, the lowest common multiple of 959,935,140,274,671 is 218786260.
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.
959 x 935 x 140 x 274 x 671 = 23079762567400
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.
959 : 1, 7, 137, 959
935 : 1, 5, 11, 17, 55, 85, 187, 935
140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
274 : 1, 2, 137, 274
671 : 1, 11, 61, 671
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 959,935,140,274,671, is 1.
Now, the common factors can be found like this.
959:7x 137
935:5x 11x 17
140:2x 2x 5x 7
274:2x 137
671:11x 61
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 7x 11x 137 = 105490
Therefore, the value for common factors is 105490.
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 = 23079762567400/(1x105490)
LCM = 23079762567400/105490
LCM = 218786260
Thus, we can understand that the LCM of 959,935,140,274,671 is 218786260.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 959, 935, 140, 274, 671?
Answer: LCM of 959, 935, 140, 274, 671 is 218786260.
2. How to calculate the LCM of 959, 935, 140, 274, 671?
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 959, 935, 140, 274, 671.
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}.