Find the LCM of 919, 217, 588, 987 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 919, 217, 588, 987. So, keep reading to learn more.
Given numbers are 919,217,588,987
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 919,217,588,987 is 787322004.
Find LCM of 919,217,588,987 with Prime Factorization
3 | 919, 217, 588, 987 |
7 | 919, 217, 196, 329 |
919, 31, 28, 47 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 919 x 31 x 28 x 47 = 787322004
Therefore, the lowest common multiple of 919,217,588,987 is 787322004.
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.
919 x 217 x 588 x 987 = 115736334588
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.
919 : 1, 919
217 : 1, 7, 31, 217
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
987 : 1, 3, 7, 21, 47, 141, 329, 987
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 919,217,588,987, is 1.
Now, the common factors can be found like this.
919:919
217:7x 31
588:2x 2x 3x 7x 7
987:3x 7x 47
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 7 = 147
Therefore, the value for common factors is 147.
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 = 115736334588/(1x147)
LCM = 115736334588/147
LCM = 787322004
Thus, we can understand that the LCM of 919,217,588,987 is 787322004.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 919, 217, 588, 987?
Answer: LCM of 919, 217, 588, 987 is 787322004.
2. How to calculate the LCM of 919, 217, 588, 987?
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 919, 217, 588, 987.
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}.