Find the LCM of 338, 109, 461, 713, 763 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 338, 109, 461, 713, 763. So, keep reading to learn more.
Given numbers are 338,109,461,713,763
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 338,109,461,713,763 is 84767952542.
Find LCM of 338,109,461,713,763 with Prime Factorization
109 | 338, 109, 461, 713, 763 |
338, 1, 461, 713, 7 |
Multiply the prime numbers at the bottom and the left side.
109 x 338 x 1 x 461 x 713 x 7 = 84767952542
Therefore, the lowest common multiple of 338,109,461,713,763 is 84767952542.
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.
338 x 109 x 461 x 713 x 763 = 9239706827078
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.
338 : 1, 2, 13, 26, 169, 338
109 : 1, 109
461 : 1, 461
713 : 1, 23, 31, 713
763 : 1, 7, 109, 763
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 338,109,461,713,763, is 1.
Now, the common factors can be found like this.
338:2x 13x 13
109:109
461:461
713:23x 31
763:7x 109
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
109 = 109
Therefore, the value for common factors is 109.
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 = 9239706827078/(1x109)
LCM = 9239706827078/109
LCM = 84767952542
Thus, we can understand that the LCM of 338,109,461,713,763 is 84767952542.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 338, 109, 461, 713, 763?
Answer: LCM of 338, 109, 461, 713, 763 is 84767952542.
2. How to calculate the LCM of 338, 109, 461, 713, 763?
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 338, 109, 461, 713, 763.
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}.