LCM of 234, 743, 458, 741
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 234, 743, 458, 741 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 234, 743, 458, 741. So, keep reading to learn more.
Given numbers are 234,743,458,741
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 234,743,458,741 is 756473562.
Find LCM of 234,743,458,741 with Prime Factorization
| 2 | 234, 743, 458, 741 |
| 3 | 117, 743, 229, 741 |
| 13 | 39, 743, 229, 247 |
| 3, 743, 229, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 3 x 743 x 229 x 19 = 756473562
Therefore, the lowest common multiple of 234,743,458,741 is 756473562.
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.
234 x 743 x 458 x 741 = 59004937836
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.
234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
743 : 1, 743
458 : 1, 2, 229, 458
741 : 1, 3, 13, 19, 39, 57, 247, 741
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 234,743,458,741, is 1.
Now, the common factors can be found like this.
234:2x 3x 3x 13
743:743
458:2x 229
741:3x 13x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 13 = 78
Therefore, the value for common factors is 78.
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 = 59004937836/(1x78)
LCM = 59004937836/78
LCM = 756473562
Thus, we can understand that the LCM of 234,743,458,741 is 756473562.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 234, 743, 458, 741
1. What is the LCM of 234, 743, 458, 741?
Answer: LCM of 234, 743, 458, 741 is 756473562.
2. How to calculate the LCM of 234, 743, 458, 741?
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 234, 743, 458, 741.
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}.