LCM of 969, 725, 205, 700
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 969, 725, 205, 700 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 969, 725, 205, 700. So, keep reading to learn more.
Given numbers are 969,725,205,700
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 969,725,205,700 is 806498700.
Find LCM of 969,725,205,700 with Prime Factorization
| 5 | 969, 725, 205, 700 |
| 5 | 969, 145, 41, 140 |
| 969, 29, 41, 28 |
Multiply the prime numbers at the bottom and the left side.
5 x 5 x 969 x 29 x 41 x 28 = 806498700
Therefore, the lowest common multiple of 969,725,205,700 is 806498700.
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.
969 x 725 x 205 x 700 = 100812337500
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.
969 : 1, 3, 17, 19, 51, 57, 323, 969
725 : 1, 5, 25, 29, 145, 725
205 : 1, 5, 41, 205
700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 969,725,205,700, is 1.
Now, the common factors can be found like this.
969:3x 17x 19
725:5x 5x 29
205:5x 41
700:2x 2x 5x 5x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 5x 5 = 125
Therefore, the value for common factors is 125.
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 = 100812337500/(1x125)
LCM = 100812337500/125
LCM = 806498700
Thus, we can understand that the LCM of 969,725,205,700 is 806498700.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 969, 725, 205, 700
1. What is the LCM of 969, 725, 205, 700?
Answer: LCM of 969, 725, 205, 700 is 806498700.
2. How to calculate the LCM of 969, 725, 205, 700?
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 969, 725, 205, 700.
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}.