Find the LCM of 713, 651, 291, 483, 543 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 713, 651, 291, 483, 543. So, keep reading to learn more.
Given numbers are 713,651,291,483,543
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 713,651,291,483,543 is 262880961.
Find LCM of 713,651,291,483,543 with Prime Factorization
3 | 713, 651, 291, 483, 543 |
7 | 713, 217, 97, 161, 181 |
23 | 713, 31, 97, 23, 181 |
31 | 31, 31, 97, 1, 181 |
1, 1, 97, 1, 181 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 23 x 31 x 1 x 1 x 97 x 1 x 181 = 262880961
Therefore, the lowest common multiple of 713,651,291,483,543 is 262880961.
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.
713 x 651 x 291 x 483 x 543 = 35425049661477
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.
713 : 1, 23, 31, 713
651 : 1, 3, 7, 21, 31, 93, 217, 651
291 : 1, 3, 97, 291
483 : 1, 3, 7, 21, 23, 69, 161, 483
543 : 1, 3, 181, 543
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 713,651,291,483,543, is 1.
Now, the common factors can be found like this.
713:23x 31
651:3x 7x 31
291:3x 97
483:3x 7x 23
543:3x 181
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 7x 23x 31 = 134757
Therefore, the value for common factors is 134757.
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 = 35425049661477/(1x134757)
LCM = 35425049661477/134757
LCM = 262880961
Thus, we can understand that the LCM of 713,651,291,483,543 is 262880961.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 713, 651, 291, 483, 543?
Answer: LCM of 713, 651, 291, 483, 543 is 262880961.
2. How to calculate the LCM of 713, 651, 291, 483, 543?
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 713, 651, 291, 483, 543.
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}.