LCM of 754, 667, 231, 229
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 754, 667, 231, 229 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 754, 667, 231, 229. So, keep reading to learn more.
Given numbers are 754,667,231,229
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 754,667,231,229 is 917374458.
Find LCM of 754,667,231,229 with Prime Factorization
| 29 | 754, 667, 231, 229 |
| 26, 23, 231, 229 |
Multiply the prime numbers at the bottom and the left side.
29 x 26 x 23 x 231 x 229 = 917374458
Therefore, the lowest common multiple of 754,667,231,229 is 917374458.
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.
754 x 667 x 231 x 229 = 26603859282
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.
754 : 1, 2, 13, 26, 29, 58, 377, 754
667 : 1, 23, 29, 667
231 : 1, 3, 7, 11, 21, 33, 77, 231
229 : 1, 229
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 754,667,231,229, is 1.
Now, the common factors can be found like this.
754:2x 13x 29
667:23x 29
231:3x 7x 11
229:229
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
29 = 29
Therefore, the value for common factors is 29.
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 = 26603859282/(1x29)
LCM = 26603859282/29
LCM = 917374458
Thus, we can understand that the LCM of 754,667,231,229 is 917374458.
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FAQs on LCM of 754, 667, 231, 229
1. What is the LCM of 754, 667, 231, 229?
Answer: LCM of 754, 667, 231, 229 is 917374458.
2. How to calculate the LCM of 754, 667, 231, 229?
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 754, 667, 231, 229.
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}.