LCM of 241, 334, 723, 686, 734
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 241, 334, 723, 686, 734 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 241, 334, 723, 686, 734. So, keep reading to learn more.
Given numbers are 241,334,723,686,734
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 241,334,723,686,734 is 30397995642.
Find LCM of 241,334,723,686,734 with Prime Factorization
| 2 | 241, 334, 723, 686, 734 |
| 241 | 241, 167, 723, 343, 367 |
| 1, 167, 3, 343, 367 |
Multiply the prime numbers at the bottom and the left side.
2 x 241 x 1 x 167 x 3 x 343 x 367 = 30397995642
Therefore, the lowest common multiple of 241,334,723,686,734 is 30397995642.
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.
241 x 334 x 723 x 686 x 734 = 29303667798888
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.
241 : 1, 241
334 : 1, 2, 167, 334
723 : 1, 3, 241, 723
686 : 1, 2, 7, 14, 49, 98, 343, 686
734 : 1, 2, 367, 734
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 241,334,723,686,734, is 1.
Now, the common factors can be found like this.
241:241
334:2x 167
723:3x 241
686:2x 7x 7x 7
734:2x 367
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 241 = 964
Therefore, the value for common factors is 964.
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 = 29303667798888/(1x964)
LCM = 29303667798888/964
LCM = 30397995642
Thus, we can understand that the LCM of 241,334,723,686,734 is 30397995642.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 241, 334, 723, 686, 734
1. What is the LCM of 241, 334, 723, 686, 734?
Answer: LCM of 241, 334, 723, 686, 734 is 30397995642.
2. How to calculate the LCM of 241, 334, 723, 686, 734?
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 241, 334, 723, 686, 734.
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}.