LCM of 705, 190, 987, 782, 356
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 705, 190, 987, 782, 356 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 705, 190, 987, 782, 356. So, keep reading to learn more.
Given numbers are 705,190,987,782,356
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 705,190,987,782,356 is 13051712940.
Find LCM of 705,190,987,782,356 with Prime Factorization
| 2 | 705, 190, 987, 782, 356 |
| 3 | 705, 95, 987, 391, 178 |
| 5 | 235, 95, 329, 391, 178 |
| 47 | 47, 19, 329, 391, 178 |
| 1, 19, 7, 391, 178 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 47 x 1 x 19 x 7 x 391 x 178 = 13051712940
Therefore, the lowest common multiple of 705,190,987,782,356 is 13051712940.
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.
705 x 190 x 987 x 782 x 356 = 36805830490800
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.
705 : 1, 3, 5, 15, 47, 141, 235, 705
190 : 1, 2, 5, 10, 19, 38, 95, 190
987 : 1, 3, 7, 21, 47, 141, 329, 987
782 : 1, 2, 17, 23, 34, 46, 391, 782
356 : 1, 2, 4, 89, 178, 356
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 705,190,987,782,356, is 1.
Now, the common factors can be found like this.
705:3x 5x 47
190:2x 5x 19
987:3x 7x 47
782:2x 17x 23
356:2x 2x 89
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 5x 47 = 2820
Therefore, the value for common factors is 2820.
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 = 36805830490800/(1x2820)
LCM = 36805830490800/2820
LCM = 13051712940
Thus, we can understand that the LCM of 705,190,987,782,356 is 13051712940.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 705, 190, 987, 782, 356
1. What is the LCM of 705, 190, 987, 782, 356?
Answer: LCM of 705, 190, 987, 782, 356 is 13051712940.
2. How to calculate the LCM of 705, 190, 987, 782, 356?
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 705, 190, 987, 782, 356.
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}.