Find the LCM of 987, 650, 675, 930, 762 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, 650, 675, 930, 762. So, keep reading to learn more.
Given numbers are 987,650,675,930,762
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 987,650,675,930,762 is 22732041150.
Find LCM of 987,650,675,930,762 with Prime Factorization
2 | 987, 650, 675, 930, 762 |
3 | 987, 325, 675, 465, 381 |
5 | 329, 325, 225, 155, 127 |
5 | 329, 65, 45, 31, 127 |
329, 13, 9, 31, 127 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 5 x 329 x 13 x 9 x 31 x 127 = 22732041150
Therefore, the lowest common multiple of 987,650,675,930,762 is 22732041150.
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 650 x 675 x 930 x 762 = 306882555525000
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
650 : 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650
675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
762 : 1, 2, 3, 6, 127, 254, 381, 762
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 987,650,675,930,762, is 1.
Now, the common factors can be found like this.
987:3x 7x 47
650:2x 5x 5x 13
675:3x 3x 3x 5x 5
930:2x 3x 5x 31
762:2x 3x 127
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 5x 5x 5 = 13500
Therefore, the value for common factors is 13500.
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 = 306882555525000/(1x13500)
LCM = 306882555525000/13500
LCM = 22732041150
Thus, we can understand that the LCM of 987,650,675,930,762 is 22732041150.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 987, 650, 675, 930, 762?
Answer: LCM of 987, 650, 675, 930, 762 is 22732041150.
2. How to calculate the LCM of 987, 650, 675, 930, 762?
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, 650, 675, 930, 762.
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}.