Find the LCM of 327, 981, 862, 763, 637 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 327, 981, 862, 763, 637. So, keep reading to learn more.
Given numbers are 327,981,862,763,637
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 327,981,862,763,637 is 538661214.
Find LCM of 327,981,862,763,637 with Prime Factorization
3 | 327, 981, 862, 763, 637 |
7 | 109, 327, 862, 763, 637 |
109 | 109, 327, 862, 109, 91 |
1, 3, 862, 1, 91 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 109 x 1 x 3 x 862 x 1 x 91 = 538661214
Therefore, the lowest common multiple of 327,981,862,763,637 is 538661214.
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.
327 x 981 x 862 x 763 x 637 = 134396511554214
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.
327 : 1, 3, 109, 327
981 : 1, 3, 9, 109, 327, 981
862 : 1, 2, 431, 862
763 : 1, 7, 109, 763
637 : 1, 7, 13, 49, 91, 637
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 327,981,862,763,637, is 1.
Now, the common factors can be found like this.
327:3x 109
981:3x 3x 109
862:2x 431
763:7x 109
637:7x 7x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 7x 109x 109 = 249501
Therefore, the value for common factors is 249501.
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 = 134396511554214/(1x249501)
LCM = 134396511554214/249501
LCM = 538661214
Thus, we can understand that the LCM of 327,981,862,763,637 is 538661214.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 327, 981, 862, 763, 637?
Answer: LCM of 327, 981, 862, 763, 637 is 538661214.
2. How to calculate the LCM of 327, 981, 862, 763, 637?
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 327, 981, 862, 763, 637.
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}.