Find the LCM of 987, 523, 923, 878, 735 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 987, 523, 923, 878, 735. So, keep reading to learn more.
Given numbers are 987,523,923,878,735
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 987,523,923,878,735 is 14641416761790.
Find LCM of 987,523,923,878,735 with Prime Factorization
3 | 987, 523, 923, 878, 735 |
7 | 329, 523, 923, 878, 245 |
47, 523, 923, 878, 35 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 47 x 523 x 923 x 878 x 35 = 14641416761790
Therefore, the lowest common multiple of 987,523,923,878,735 is 14641416761790.
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.
987 x 523 x 923 x 878 x 735 = 307469751997590
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.
987 : 1, 3, 7, 21, 47, 141, 329, 987
523 : 1, 523
923 : 1, 13, 71, 923
878 : 1, 2, 439, 878
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 987,523,923,878,735, is 1.
Now, the common factors can be found like this.
987:3x 7x 47
523:523
923:13x 71
878:2x 439
735:3x 5x 7x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 7 = 21
Therefore, the value for common factors is 21.
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 = 307469751997590/(1x21)
LCM = 307469751997590/21
LCM = 14641416761790
Thus, we can understand that the LCM of 987,523,923,878,735 is 14641416761790.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 987, 523, 923, 878, 735?
Answer: LCM of 987, 523, 923, 878, 735 is 14641416761790.
2. How to calculate the LCM of 987, 523, 923, 878, 735?
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 987, 523, 923, 878, 735.
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}.