Find the LCM of 848, 161, 592, 956 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 848, 161, 592, 956. So, keep reading to learn more.
Given numbers are 848,161,592,956
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 848,161,592,956 is 1207317104.
Find LCM of 848,161,592,956 with Prime Factorization
2 | 848, 161, 592, 956 |
2 | 424, 161, 296, 478 |
2 | 212, 161, 148, 239 |
2 | 106, 161, 74, 239 |
53, 161, 37, 239 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 53 x 161 x 37 x 239 = 1207317104
Therefore, the lowest common multiple of 848,161,592,956 is 1207317104.
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.
848 x 161 x 592 x 956 = 77268294656
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.
848 : 1, 2, 4, 8, 16, 53, 106, 212, 424, 848
161 : 1, 7, 23, 161
592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592
956 : 1, 2, 4, 239, 478, 956
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 848,161,592,956, is 1.
Now, the common factors can be found like this.
848:2x 2x 2x 2x 53
161:7x 23
592:2x 2x 2x 2x 37
956:2x 2x 239
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 2x 2x 2x 2 = 64
Therefore, the value for common factors is 64.
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 = 77268294656/(1x64)
LCM = 77268294656/64
LCM = 1207317104
Thus, we can understand that the LCM of 848,161,592,956 is 1207317104.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 848, 161, 592, 956?
Answer: LCM of 848, 161, 592, 956 is 1207317104.
2. How to calculate the LCM of 848, 161, 592, 956?
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 848, 161, 592, 956.
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}.