LCM of 717, 269, 592, 716, 971
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 717, 269, 592, 716, 971 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 717, 269, 592, 716, 971. So, keep reading to learn more.
Given numbers are 717,269,592,716,971
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 717,269,592,716,971 is 19845653448144.
Find LCM of 717,269,592,716,971 with Prime Factorization
| 2 | 717, 269, 592, 716, 971 |
| 2 | 717, 269, 296, 358, 971 |
| 717, 269, 148, 179, 971 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 717 x 269 x 148 x 179 x 971 = 19845653448144
Therefore, the lowest common multiple of 717,269,592,716,971 is 19845653448144.
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.
717 x 269 x 592 x 716 x 971 = 79382613792576
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.
717 : 1, 3, 239, 717
269 : 1, 269
592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592
716 : 1, 2, 4, 179, 358, 716
971 : 1, 971
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 717,269,592,716,971, is 1.
Now, the common factors can be found like this.
717:3x 239
269:269
592:2x 2x 2x 2x 37
716:2x 2x 179
971:971
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 79382613792576/(1x4)
LCM = 79382613792576/4
LCM = 19845653448144
Thus, we can understand that the LCM of 717,269,592,716,971 is 19845653448144.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 717, 269, 592, 716, 971
1. What is the LCM of 717, 269, 592, 716, 971?
Answer: LCM of 717, 269, 592, 716, 971 is 19845653448144.
2. How to calculate the LCM of 717, 269, 592, 716, 971?
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 717, 269, 592, 716, 971.
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}.