Find the LCM of 969, 533, 871, 524 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 969, 533, 871, 524. So, keep reading to learn more.
Given numbers are 969,533,871,524
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 969,533,871,524 is 18132474516.
Find LCM of 969,533,871,524 with Prime Factorization
13 | 969, 533, 871, 524 |
969, 41, 67, 524 |
Multiply the prime numbers at the bottom and the left side.
13 x 969 x 41 x 67 x 524 = 18132474516
Therefore, the lowest common multiple of 969,533,871,524 is 18132474516.
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.
969 x 533 x 871 x 524 = 235722168708
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.
969 : 1, 3, 17, 19, 51, 57, 323, 969
533 : 1, 13, 41, 533
871 : 1, 13, 67, 871
524 : 1, 2, 4, 131, 262, 524
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 969,533,871,524, is 1.
Now, the common factors can be found like this.
969:3x 17x 19
533:13x 41
871:13x 67
524:2x 2x 131
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 = 235722168708/(1x13)
LCM = 235722168708/13
LCM = 18132474516
Thus, we can understand that the LCM of 969,533,871,524 is 18132474516.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 969, 533, 871, 524?
Answer: LCM of 969, 533, 871, 524 is 18132474516.
2. How to calculate the LCM of 969, 533, 871, 524?
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 969, 533, 871, 524.
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}.