Find the LCM of 524, 507, 871, 473 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, 507, 871, 473. So, keep reading to learn more.
Given numbers are 524,507,871,473
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 524,507,871,473 is 8419284588.
Find LCM of 524,507,871,473 with Prime Factorization
13 | 524, 507, 871, 473 |
524, 39, 67, 473 |
Multiply the prime numbers at the bottom and the left side.
13 x 524 x 39 x 67 x 473 = 8419284588
Therefore, the lowest common multiple of 524,507,871,473 is 8419284588.
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 507 x 871 x 473 = 109450699644
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
507 : 1, 3, 13, 39, 169, 507
871 : 1, 13, 67, 871
473 : 1, 11, 43, 473
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 524,507,871,473, is 1.
Now, the common factors can be found like this.
524:2x 2x 131
507:3x 13x 13
871:13x 67
473:11x 43
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 = 109450699644/(1x13)
LCM = 109450699644/13
LCM = 8419284588
Thus, we can understand that the LCM of 524,507,871,473 is 8419284588.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 524, 507, 871, 473?
Answer: LCM of 524, 507, 871, 473 is 8419284588.
2. How to calculate the LCM of 524, 507, 871, 473?
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, 507, 871, 473.
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}.