LCM of 524, 144, 108, 863, 943
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 524, 144, 108, 863, 943 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 524, 144, 108, 863, 943. So, keep reading to learn more.
Given numbers are 524,144,108,863,943
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 524,144,108,863,943 is 46055078928.
Find LCM of 524,144,108,863,943 with Prime Factorization
| 2 | 524, 144, 108, 863, 943 |
| 2 | 262, 72, 54, 863, 943 |
| 3 | 131, 36, 27, 863, 943 |
| 3 | 131, 12, 9, 863, 943 |
| 131, 4, 3, 863, 943 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 131 x 4 x 3 x 863 x 943 = 46055078928
Therefore, the lowest common multiple of 524,144,108,863,943 is 46055078928.
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.
524 x 144 x 108 x 863 x 943 = 6631931365632
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.
524 : 1, 2, 4, 131, 262, 524
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
863 : 1, 863
943 : 1, 23, 41, 943
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 524,144,108,863,943, is 1.
Now, the common factors can be found like this.
524:2x 2x 131
144:2x 2x 2x 2x 3x 3
108:2x 2x 3x 3x 3
863:863
943:23x 41
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 3x 3 = 144
Therefore, the value for common factors is 144.
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 = 6631931365632/(1x144)
LCM = 6631931365632/144
LCM = 46055078928
Thus, we can understand that the LCM of 524,144,108,863,943 is 46055078928.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 524, 144, 108, 863, 943
1. What is the LCM of 524, 144, 108, 863, 943?
Answer: LCM of 524, 144, 108, 863, 943 is 46055078928.
2. How to calculate the LCM of 524, 144, 108, 863, 943?
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 524, 144, 108, 863, 943.
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}.