Find the LCM of 766, 327, 444, 369, 538 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 766, 327, 444, 369, 538. So, keep reading to learn more.
Given numbers are 766,327,444,369,538
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 766,327,444,369,538 is 613289647116.
Find LCM of 766,327,444,369,538 with Prime Factorization
2 | 766, 327, 444, 369, 538 |
3 | 383, 327, 222, 369, 269 |
383, 109, 74, 123, 269 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 383 x 109 x 74 x 123 x 269 = 613289647116
Therefore, the lowest common multiple of 766,327,444,369,538 is 613289647116.
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.
766 x 327 x 444 x 369 x 538 = 22078427296176
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.
766 : 1, 2, 383, 766
327 : 1, 3, 109, 327
444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
369 : 1, 3, 9, 41, 123, 369
538 : 1, 2, 269, 538
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 766,327,444,369,538, is 1.
Now, the common factors can be found like this.
766:2x 383
327:3x 109
444:2x 2x 3x 37
369:3x 3x 41
538:2x 269
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 3x 3 = 36
Therefore, the value for common factors is 36.
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 = 22078427296176/(1x36)
LCM = 22078427296176/36
LCM = 613289647116
Thus, we can understand that the LCM of 766,327,444,369,538 is 613289647116.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 766, 327, 444, 369, 538?
Answer: LCM of 766, 327, 444, 369, 538 is 613289647116.
2. How to calculate the LCM of 766, 327, 444, 369, 538?
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 766, 327, 444, 369, 538.
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}.