LCM of 525, 931, 763, 195, 109
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 525, 931, 763, 195, 109 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 525, 931, 763, 195, 109. So, keep reading to learn more.
Given numbers are 525,931,763,195,109
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 525,931,763,195,109 is 98942025.
Find LCM of 525,931,763,195,109 with Prime Factorization
| 3 | 525, 931, 763, 195, 109 |
| 5 | 175, 931, 763, 65, 109 |
| 7 | 35, 931, 763, 13, 109 |
| 109 | 5, 133, 109, 13, 109 |
| 5, 133, 1, 13, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 7 x 109 x 5 x 133 x 1 x 13 x 1 = 98942025
Therefore, the lowest common multiple of 525,931,763,195,109 is 98942025.
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.
525 x 931 x 763 x 195 x 109 = 7926740332875
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.
525 : 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
931 : 1, 7, 19, 49, 133, 931
763 : 1, 7, 109, 763
195 : 1, 3, 5, 13, 15, 39, 65, 195
109 : 1, 109
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 525,931,763,195,109, is 1.
Now, the common factors can be found like this.
525:3x 5x 5x 7
931:7x 7x 19
763:7x 109
195:3x 5x 13
109:109
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 7x 7x 109 = 80115
Therefore, the value for common factors is 80115.
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 = 7926740332875/(1x80115)
LCM = 7926740332875/80115
LCM = 98942025
Thus, we can understand that the LCM of 525,931,763,195,109 is 98942025.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 525, 931, 763, 195, 109
1. What is the LCM of 525, 931, 763, 195, 109?
Answer: LCM of 525, 931, 763, 195, 109 is 98942025.
2. How to calculate the LCM of 525, 931, 763, 195, 109?
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 525, 931, 763, 195, 109.
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}.