LCM of 722, 604, 114, 323, 268
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 722, 604, 114, 323, 268 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 722, 604, 114, 323, 268. So, keep reading to learn more.
Given numbers are 722,604,114,323,268
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 722,604,114,323,268 is 745056348.
Find LCM of 722,604,114,323,268 with Prime Factorization
| 2 | 722, 604, 114, 323, 268 |
| 2 | 361, 302, 57, 323, 134 |
| 19 | 361, 151, 57, 323, 67 |
| 19, 151, 3, 17, 67 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 19 x 19 x 151 x 3 x 17 x 67 = 745056348
Therefore, the lowest common multiple of 722,604,114,323,268 is 745056348.
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.
722 x 604 x 114 x 323 x 268 = 4303445466048
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.
722 : 1, 2, 19, 38, 361, 722
604 : 1, 2, 4, 151, 302, 604
114 : 1, 2, 3, 6, 19, 38, 57, 114
323 : 1, 17, 19, 323
268 : 1, 2, 4, 67, 134, 268
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 722,604,114,323,268, is 1.
Now, the common factors can be found like this.
722:2x 19x 19
604:2x 2x 151
114:2x 3x 19
323:17x 19
268:2x 2x 67
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 2x 2x 19x 19 = 5776
Therefore, the value for common factors is 5776.
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 = 4303445466048/(1x5776)
LCM = 4303445466048/5776
LCM = 745056348
Thus, we can understand that the LCM of 722,604,114,323,268 is 745056348.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 722, 604, 114, 323, 268
1. What is the LCM of 722, 604, 114, 323, 268?
Answer: LCM of 722, 604, 114, 323, 268 is 745056348.
2. How to calculate the LCM of 722, 604, 114, 323, 268?
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 722, 604, 114, 323, 268.
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}.