LCM of 556, 762, 739, 344
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 556, 762, 739, 344 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 556, 762, 739, 344. So, keep reading to learn more.
Given numbers are 556,762,739,344
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 556,762,739,344 is 13463025144.
Find LCM of 556,762,739,344 with Prime Factorization
| 2 | 556, 762, 739, 344 |
| 2 | 278, 381, 739, 172 |
| 139, 381, 739, 86 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 139 x 381 x 739 x 86 = 13463025144
Therefore, the lowest common multiple of 556,762,739,344 is 13463025144.
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.
556 x 762 x 739 x 344 = 107704201152
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.
556 : 1, 2, 4, 139, 278, 556
762 : 1, 2, 3, 6, 127, 254, 381, 762
739 : 1, 739
344 : 1, 2, 4, 8, 43, 86, 172, 344
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 556,762,739,344, is 1.
Now, the common factors can be found like this.
556:2x 2x 139
762:2x 3x 127
739:739
344:2x 2x 2x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2 = 8
Therefore, the value for common factors is 8.
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 = 107704201152/(1x8)
LCM = 107704201152/8
LCM = 13463025144
Thus, we can understand that the LCM of 556,762,739,344 is 13463025144.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 556, 762, 739, 344
1. What is the LCM of 556, 762, 739, 344?
Answer: LCM of 556, 762, 739, 344 is 13463025144.
2. How to calculate the LCM of 556, 762, 739, 344?
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 556, 762, 739, 344.
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}.