LCM of 722, 713, 767, 979, 782
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 722, 713, 767, 979, 782 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 722, 713, 767, 979, 782. So, keep reading to learn more.
Given numbers are 722,713,767,979,782
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 722,713,767,979,782 is 6571336466266.
Find LCM of 722,713,767,979,782 with Prime Factorization
| 2 | 722, 713, 767, 979, 782 |
| 23 | 361, 713, 767, 979, 391 |
| 361, 31, 767, 979, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 23 x 361 x 31 x 767 x 979 x 17 = 6571336466266
Therefore, the lowest common multiple of 722,713,767,979,782 is 6571336466266.
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.
722 x 713 x 767 x 979 x 782 = 302281477448236
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.
722 : 1, 2, 19, 38, 361, 722
713 : 1, 23, 31, 713
767 : 1, 13, 59, 767
979 : 1, 11, 89, 979
782 : 1, 2, 17, 23, 34, 46, 391, 782
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 722,713,767,979,782, is 1.
Now, the common factors can be found like this.
722:2x 19x 19
713:23x 31
767:13x 59
979:11x 89
782:2x 17x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 23 = 46
Therefore, the value for common factors is 46.
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 = 302281477448236/(1x46)
LCM = 302281477448236/46
LCM = 6571336466266
Thus, we can understand that the LCM of 722,713,767,979,782 is 6571336466266.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 722, 713, 767, 979, 782
1. What is the LCM of 722, 713, 767, 979, 782?
Answer: LCM of 722, 713, 767, 979, 782 is 6571336466266.
2. How to calculate the LCM of 722, 713, 767, 979, 782?
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 722, 713, 767, 979, 782.
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}.