LCM of 714, 527, 661, 791
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 714, 527, 661, 791 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 714, 527, 661, 791. So, keep reading to learn more.
Given numbers are 714,527,661,791
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 714,527,661,791 is 1653254862.
Find LCM of 714,527,661,791 with Prime Factorization
| 7 | 714, 527, 661, 791 |
| 17 | 102, 527, 661, 113 |
| 6, 31, 661, 113 |
Multiply the prime numbers at the bottom and the left side.
7 x 17 x 6 x 31 x 661 x 113 = 1653254862
Therefore, the lowest common multiple of 714,527,661,791 is 1653254862.
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.
714 x 527 x 661 x 791 = 196737328578
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.
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
527 : 1, 17, 31, 527
661 : 1, 661
791 : 1, 7, 113, 791
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 714,527,661,791, is 1.
Now, the common factors can be found like this.
714:2x 3x 7x 17
527:17x 31
661:661
791:7x 113
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7x 17 = 119
Therefore, the value for common factors is 119.
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 = 196737328578/(1x119)
LCM = 196737328578/119
LCM = 1653254862
Thus, we can understand that the LCM of 714,527,661,791 is 1653254862.
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FAQs on LCM of 714, 527, 661, 791
1. What is the LCM of 714, 527, 661, 791?
Answer: LCM of 714, 527, 661, 791 is 1653254862.
2. How to calculate the LCM of 714, 527, 661, 791?
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 714, 527, 661, 791.
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}.