Find the LCM of 849, 982, 685, 937, 959 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 849, 982, 685, 937, 959. So, keep reading to learn more.
Given numbers are 849,982,685,937,959
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 849,982,685,937,959 is 3745824107970.
Find LCM of 849,982,685,937,959 with Prime Factorization
137 | 849, 982, 685, 937, 959 |
849, 982, 5, 937, 7 |
Multiply the prime numbers at the bottom and the left side.
137 x 849 x 982 x 5 x 937 x 7 = 3745824107970
Therefore, the lowest common multiple of 849,982,685,937,959 is 3745824107970.
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.
849 x 982 x 685 x 937 x 959 = 513177902791890
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.
849 : 1, 3, 283, 849
982 : 1, 2, 491, 982
685 : 1, 5, 137, 685
937 : 1, 937
959 : 1, 7, 137, 959
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 849,982,685,937,959, is 1.
Now, the common factors can be found like this.
849:3x 283
982:2x 491
685:5x 137
937:937
959:7x 137
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
137 = 137
Therefore, the value for common factors is 137.
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 = 513177902791890/(1x137)
LCM = 513177902791890/137
LCM = 3745824107970
Thus, we can understand that the LCM of 849,982,685,937,959 is 3745824107970.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 849, 982, 685, 937, 959?
Answer: LCM of 849, 982, 685, 937, 959 is 3745824107970.
2. How to calculate the LCM of 849, 982, 685, 937, 959?
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 849, 982, 685, 937, 959.
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}.