Find the LCM of 521, 666, 444, 981, 942 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 521, 666, 444, 981, 942. So, keep reading to learn more.
Given numbers are 521,666,444,981,942
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 521,666,444,981,942 is 11875942836.
Find LCM of 521,666,444,981,942 with Prime Factorization
2 | 521, 666, 444, 981, 942 |
3 | 521, 333, 222, 981, 471 |
3 | 521, 111, 74, 327, 157 |
37 | 521, 37, 74, 109, 157 |
521, 1, 2, 109, 157 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 37 x 521 x 1 x 2 x 109 x 157 = 11875942836
Therefore, the lowest common multiple of 521,666,444,981,942 is 11875942836.
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.
521 x 666 x 444 x 981 x 942 = 142368802717968
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.
521 : 1, 521
666 : 1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666
444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
981 : 1, 3, 9, 109, 327, 981
942 : 1, 2, 3, 6, 157, 314, 471, 942
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 521,666,444,981,942, is 1.
Now, the common factors can be found like this.
521:521
666:2x 3x 3x 37
444:2x 2x 3x 37
981:3x 3x 109
942:2x 3x 157
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 3x 3x 3x 37 = 11988
Therefore, the value for common factors is 11988.
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 = 142368802717968/(1x11988)
LCM = 142368802717968/11988
LCM = 11875942836
Thus, we can understand that the LCM of 521,666,444,981,942 is 11875942836.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 521, 666, 444, 981, 942?
Answer: LCM of 521, 666, 444, 981, 942 is 11875942836.
2. How to calculate the LCM of 521, 666, 444, 981, 942?
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 521, 666, 444, 981, 942.
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}.