LCM of 926, 374, 923, 325, 714
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 926, 374, 923, 325, 714 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 926, 374, 923, 325, 714. So, keep reading to learn more.
Given numbers are 926,374,923,325,714
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 926,374,923,325,714 is 83909976150.
Find LCM of 926,374,923,325,714 with Prime Factorization
| 2 | 926, 374, 923, 325, 714 |
| 13 | 463, 187, 923, 325, 357 |
| 17 | 463, 187, 71, 25, 357 |
| 463, 11, 71, 25, 21 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 17 x 463 x 11 x 71 x 25 x 21 = 83909976150
Therefore, the lowest common multiple of 926,374,923,325,714 is 83909976150.
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.
926 x 374 x 923 x 325 x 714 = 74176418916600
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.
926 : 1, 2, 463, 926
374 : 1, 2, 11, 17, 22, 34, 187, 374
923 : 1, 13, 71, 923
325 : 1, 5, 13, 25, 65, 325
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 926,374,923,325,714, is 1.
Now, the common factors can be found like this.
926:2x 463
374:2x 11x 17
923:13x 71
325:5x 5x 13
714:2x 3x 7x 17
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 13x 17 = 884
Therefore, the value for common factors is 884.
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 = 74176418916600/(1x884)
LCM = 74176418916600/884
LCM = 83909976150
Thus, we can understand that the LCM of 926,374,923,325,714 is 83909976150.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 926, 374, 923, 325, 714
1. What is the LCM of 926, 374, 923, 325, 714?
Answer: LCM of 926, 374, 923, 325, 714 is 83909976150.
2. How to calculate the LCM of 926, 374, 923, 325, 714?
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 926, 374, 923, 325, 714.
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}.