LCM of 782, 171, 893, 387
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 782, 171, 893, 387 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 782, 171, 893, 387. So, keep reading to learn more.
Given numbers are 782,171,893,387
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 782,171,893,387 is 270252162.
Find LCM of 782,171,893,387 with Prime Factorization
| 3 | 782, 171, 893, 387 |
| 3 | 782, 57, 893, 129 |
| 19 | 782, 19, 893, 43 |
| 782, 1, 47, 43 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 19 x 782 x 1 x 47 x 43 = 270252162
Therefore, the lowest common multiple of 782,171,893,387 is 270252162.
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.
782 x 171 x 893 x 387 = 46213119702
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.
782 : 1, 2, 17, 23, 34, 46, 391, 782
171 : 1, 3, 9, 19, 57, 171
893 : 1, 19, 47, 893
387 : 1, 3, 9, 43, 129, 387
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 782,171,893,387, is 1.
Now, the common factors can be found like this.
782:2x 17x 23
171:3x 3x 19
893:19x 47
387:3x 3x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 19 = 171
Therefore, the value for common factors is 171.
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 = 46213119702/(1x171)
LCM = 46213119702/171
LCM = 270252162
Thus, we can understand that the LCM of 782,171,893,387 is 270252162.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 782, 171, 893, 387
1. What is the LCM of 782, 171, 893, 387?
Answer: LCM of 782, 171, 893, 387 is 270252162.
2. How to calculate the LCM of 782, 171, 893, 387?
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 782, 171, 893, 387.
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}.