LCM of 779, 374, 591, 493, 683
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 779, 374, 591, 493, 683 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 779, 374, 591, 493, 683. So, keep reading to learn more.
Given numbers are 779,374,591,493,683
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 779,374,591,493,683 is 3410477921202.
Find LCM of 779,374,591,493,683 with Prime Factorization
| 17 | 779, 374, 591, 493, 683 |
| 779, 22, 591, 29, 683 |
Multiply the prime numbers at the bottom and the left side.
17 x 779 x 22 x 591 x 29 x 683 = 3410477921202
Therefore, the lowest common multiple of 779,374,591,493,683 is 3410477921202.
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.
779 x 374 x 591 x 493 x 683 = 57978124660434
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.
779 : 1, 19, 41, 779
374 : 1, 2, 11, 17, 22, 34, 187, 374
591 : 1, 3, 197, 591
493 : 1, 17, 29, 493
683 : 1, 683
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 779,374,591,493,683, is 1.
Now, the common factors can be found like this.
779:19x 41
374:2x 11x 17
591:3x 197
493:17x 29
683:683
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
17 = 17
Therefore, the value for common factors is 17.
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 = 57978124660434/(1x17)
LCM = 57978124660434/17
LCM = 3410477921202
Thus, we can understand that the LCM of 779,374,591,493,683 is 3410477921202.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 779, 374, 591, 493, 683
1. What is the LCM of 779, 374, 591, 493, 683?
Answer: LCM of 779, 374, 591, 493, 683 is 3410477921202.
2. How to calculate the LCM of 779, 374, 591, 493, 683?
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 779, 374, 591, 493, 683.
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}.