LCM of 965, 105, 763, 719, 515
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 965, 105, 763, 719, 515 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 965, 105, 763, 719, 515. So, keep reading to learn more.
Given numbers are 965,105,763,719,515
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 965,105,763,719,515 is 163583396445.
Find LCM of 965,105,763,719,515 with Prime Factorization
| 5 | 965, 105, 763, 719, 515 |
| 7 | 193, 21, 763, 719, 103 |
| 193, 3, 109, 719, 103 |
Multiply the prime numbers at the bottom and the left side.
5 x 7 x 193 x 3 x 109 x 719 x 103 = 163583396445
Therefore, the lowest common multiple of 965,105,763,719,515 is 163583396445.
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.
965 x 105 x 763 x 719 x 515 = 28627094377875
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.
965 : 1, 5, 193, 965
105 : 1, 3, 5, 7, 15, 21, 35, 105
763 : 1, 7, 109, 763
719 : 1, 719
515 : 1, 5, 103, 515
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 965,105,763,719,515, is 1.
Now, the common factors can be found like this.
965:5x 193
105:3x 5x 7
763:7x 109
719:719
515:5x 103
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 7 = 175
Therefore, the value for common factors is 175.
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 = 28627094377875/(1x175)
LCM = 28627094377875/175
LCM = 163583396445
Thus, we can understand that the LCM of 965,105,763,719,515 is 163583396445.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 965, 105, 763, 719, 515
1. What is the LCM of 965, 105, 763, 719, 515?
Answer: LCM of 965, 105, 763, 719, 515 is 163583396445.
2. How to calculate the LCM of 965, 105, 763, 719, 515?
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 965, 105, 763, 719, 515.
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}.