Find the LCM of 674, 737, 337, 713 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 674, 737, 337, 713. So, keep reading to learn more.
Given numbers are 674,737,337,713
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 674,737,337,713 is 354174194.
Find LCM of 674,737,337,713 with Prime Factorization
337 | 674, 737, 337, 713 |
2, 737, 1, 713 |
Multiply the prime numbers at the bottom and the left side.
337 x 2 x 737 x 1 x 713 = 354174194
Therefore, the lowest common multiple of 674,737,337,713 is 354174194.
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.
674 x 737 x 337 x 713 = 119356703378
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.
674 : 1, 2, 337, 674
737 : 1, 11, 67, 737
337 : 1, 337
713 : 1, 23, 31, 713
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 674,737,337,713, is 1.
Now, the common factors can be found like this.
674:2x 337
737:11x 67
337:337
713:23x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
337 = 337
Therefore, the value for common factors is 337.
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 = 119356703378/(1x337)
LCM = 119356703378/337
LCM = 354174194
Thus, we can understand that the LCM of 674,737,337,713 is 354174194.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 674, 737, 337, 713?
Answer: LCM of 674, 737, 337, 713 is 354174194.
2. How to calculate the LCM of 674, 737, 337, 713?
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 674, 737, 337, 713.
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}.