Find the LCM of 511, 734, 337, 446, 674 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 511, 734, 337, 446, 674. So, keep reading to learn more.
Given numbers are 511,734,337,446,674
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 511,734,337,446,674 is 28187186174.
Find LCM of 511,734,337,446,674 with Prime Factorization
2 | 511, 734, 337, 446, 674 |
337 | 511, 367, 337, 223, 337 |
511, 367, 1, 223, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 337 x 511 x 367 x 1 x 223 x 1 = 28187186174
Therefore, the lowest common multiple of 511,734,337,446,674 is 28187186174.
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.
511 x 734 x 337 x 446 x 674 = 37996326962552
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.
511 : 1, 7, 73, 511
734 : 1, 2, 367, 734
337 : 1, 337
446 : 1, 2, 223, 446
674 : 1, 2, 337, 674
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 511,734,337,446,674, is 1.
Now, the common factors can be found like this.
511:7x 73
734:2x 367
337:337
446:2x 223
674:2x 337
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 337 = 1348
Therefore, the value for common factors is 1348.
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 = 37996326962552/(1x1348)
LCM = 37996326962552/1348
LCM = 28187186174
Thus, we can understand that the LCM of 511,734,337,446,674 is 28187186174.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 511, 734, 337, 446, 674?
Answer: LCM of 511, 734, 337, 446, 674 is 28187186174.
2. How to calculate the LCM of 511, 734, 337, 446, 674?
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 511, 734, 337, 446, 674.
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}.