LCM of 932, 836, 972, 897, 345
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 932, 836, 972, 897, 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, 836, 972, 897, 345. So, keep reading to learn more.
Given numbers are 932,836,972,897,345
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 932,836,972,897,345 is 70763558580.
Find LCM of 932,836,972,897,345 with Prime Factorization
| 2 | 932, 836, 972, 897, 345 |
| 2 | 466, 418, 486, 897, 345 |
| 3 | 233, 209, 243, 897, 345 |
| 23 | 233, 209, 81, 299, 115 |
| 233, 209, 81, 13, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 23 x 233 x 209 x 81 x 13 x 5 = 70763558580
Therefore, the lowest common multiple of 932,836,972,897,345 is 70763558580.
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 836 x 972 x 897 x 345 = 234368906016960
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
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
897 : 1, 3, 13, 23, 39, 69, 299, 897
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 932,836,972,897,345, is 1.
Now, the common factors can be found like this.
932:2x 2x 233
836:2x 2x 11x 19
972:2x 2x 3x 3x 3x 3x 3
897:3x 13x 23
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 2x 2x 2x 3x 3x 23 = 3312
Therefore, the value for common factors is 3312.
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 = 234368906016960/(1x3312)
LCM = 234368906016960/3312
LCM = 70763558580
Thus, we can understand that the LCM of 932,836,972,897,345 is 70763558580.
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, 836, 972, 897, 345
1. What is the LCM of 932, 836, 972, 897, 345?
Answer: LCM of 932, 836, 972, 897, 345 is 70763558580.
2. How to calculate the LCM of 932, 836, 972, 897, 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, 836, 972, 897, 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}.