LCM of 932, 646, 699, 345
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 932, 646, 699, 345 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 932, 646, 699, 345. So, keep reading to learn more.
Given numbers are 932,646,699,345
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 932,646,699,345 is 103857420.
Find LCM of 932,646,699,345 with Prime Factorization
| 2 | 932, 646, 699, 345 |
| 3 | 466, 323, 699, 345 |
| 233 | 466, 323, 233, 115 |
| 2, 323, 1, 115 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 233 x 2 x 323 x 1 x 115 = 103857420
Therefore, the lowest common multiple of 932,646,699,345 is 103857420.
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.
932 x 646 x 699 x 345 = 145192673160
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.
932 : 1, 2, 4, 233, 466, 932
646 : 1, 2, 17, 19, 34, 38, 323, 646
699 : 1, 3, 233, 699
345 : 1, 3, 5, 15, 23, 69, 115, 345
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 932,646,699,345, is 1.
Now, the common factors can be found like this.
932:2x 2x 233
646:2x 17x 19
699:3x 233
345:3x 5x 23
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 233 = 1398
Therefore, the value for common factors is 1398.
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 = 145192673160/(1x1398)
LCM = 145192673160/1398
LCM = 103857420
Thus, we can understand that the LCM of 932,646,699,345 is 103857420.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 932, 646, 699, 345
1. What is the LCM of 932, 646, 699, 345?
Answer: LCM of 932, 646, 699, 345 is 103857420.
2. How to calculate the LCM of 932, 646, 699, 345?
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 932, 646, 699, 345.
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}.