Find the LCM of 775, 358, 987, 849, 744 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 775, 358, 987, 849, 744. So, keep reading to learn more.
Given numbers are 775,358,987,849,744
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 775,358,987,849,744 is 309990445800.
Find LCM of 775,358,987,849,744 with Prime Factorization
2 | 775, 358, 987, 849, 744 |
3 | 775, 179, 987, 849, 372 |
31 | 775, 179, 329, 283, 124 |
25, 179, 329, 283, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 31 x 25 x 179 x 329 x 283 x 4 = 309990445800
Therefore, the lowest common multiple of 775,358,987,849,744 is 309990445800.
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.
775 x 358 x 987 x 849 x 744 = 172974668756400
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.
775 : 1, 5, 25, 31, 155, 775
358 : 1, 2, 179, 358
987 : 1, 3, 7, 21, 47, 141, 329, 987
849 : 1, 3, 283, 849
744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 775,358,987,849,744, is 1.
Now, the common factors can be found like this.
775:5x 5x 31
358:2x 179
987:3x 7x 47
849:3x 283
744:2x 2x 2x 3x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 31 = 558
Therefore, the value for common factors is 558.
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 = 172974668756400/(1x558)
LCM = 172974668756400/558
LCM = 309990445800
Thus, we can understand that the LCM of 775,358,987,849,744 is 309990445800.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 775, 358, 987, 849, 744?
Answer: LCM of 775, 358, 987, 849, 744 is 309990445800.
2. How to calculate the LCM of 775, 358, 987, 849, 744?
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 775, 358, 987, 849, 744.
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}.