Find the LCM of 739, 495, 882, 723, 546 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 739, 495, 882, 723, 546. So, keep reading to learn more.
Given numbers are 739,495,882,723,546
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 739,495,882,723,546 is 112314572370.
Find LCM of 739,495,882,723,546 with Prime Factorization
2 | 739, 495, 882, 723, 546 |
3 | 739, 495, 441, 723, 273 |
3 | 739, 165, 147, 241, 91 |
7 | 739, 55, 49, 241, 91 |
739, 55, 7, 241, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 7 x 739 x 55 x 7 x 241 x 13 = 112314572370
Therefore, the lowest common multiple of 739,495,882,723,546 is 112314572370.
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.
739 x 495 x 882 x 723 x 546 = 127364725067580
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.
739 : 1, 739
495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
723 : 1, 3, 241, 723
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 739,495,882,723,546, is 1.
Now, the common factors can be found like this.
739:739
495:3x 3x 5x 11
882:2x 3x 3x 7x 7
723:3x 241
546:2x 3x 7x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 3x 7 = 1134
Therefore, the value for common factors is 1134.
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 = 127364725067580/(1x1134)
LCM = 127364725067580/1134
LCM = 112314572370
Thus, we can understand that the LCM of 739,495,882,723,546 is 112314572370.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 739, 495, 882, 723, 546?
Answer: LCM of 739, 495, 882, 723, 546 is 112314572370.
2. How to calculate the LCM of 739, 495, 882, 723, 546?
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 739, 495, 882, 723, 546.
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}.