LCM of 741, 494, 148
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 741, 494, 148 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 741, 494, 148. So, keep reading to learn more.
Given numbers are 741,494,148
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 741,494,148 is 109668.
Find LCM of 741,494,148 with Prime Factorization
| 2 | 741, 494, 148 |
| 13 | 741, 247, 74 |
| 19 | 57, 19, 74 |
| 3, 1, 74 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 19 x 3 x 1 x 74 = 109668
Therefore, the lowest common multiple of 741,494,148 is 109668.
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.
741 x 494 x 148 = 54175992
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.
741 : 1, 3, 13, 19, 39, 57, 247, 741
494 : 1, 2, 13, 19, 26, 38, 247, 494
148 : 1, 2, 4, 37, 74, 148
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 741,494,148, is 1.
Now, the common factors can be found like this.
741:3x 13x 19
494:2x 13x 19
148:2x 2x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 13x 19 = 494
Therefore, the value for common factors is 494.
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 = 54175992/(1x494)
LCM = 54175992/494
LCM = 109668
Thus, we can understand that the LCM of 741,494,148 is 109668.
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FAQs on LCM of 741, 494, 148
1. What is the LCM of 741, 494, 148?
Answer: LCM of 741, 494, 148 is 109668.
2. How to calculate the LCM of 741, 494, 148?
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 741, 494, 148.
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}.