LCM of 741, 548, 434, 959
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 741, 548, 434, 959 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, 548, 434, 959. So, keep reading to learn more.
Given numbers are 741,548,434,959
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 741,548,434,959 is 88116756.
Find LCM of 741,548,434,959 with Prime Factorization
| 2 | 741, 548, 434, 959 |
| 7 | 741, 274, 217, 959 |
| 137 | 741, 274, 31, 137 |
| 741, 2, 31, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 137 x 741 x 2 x 31 x 1 = 88116756
Therefore, the lowest common multiple of 741,548,434,959 is 88116756.
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 548 x 434 x 959 = 169007938008
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
548 : 1, 2, 4, 137, 274, 548
434 : 1, 2, 7, 14, 31, 62, 217, 434
959 : 1, 7, 137, 959
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 741,548,434,959, is 1.
Now, the common factors can be found like this.
741:3x 13x 19
548:2x 2x 137
434:2x 7x 31
959:7x 137
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7x 137 = 1918
Therefore, the value for common factors is 1918.
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 = 169007938008/(1x1918)
LCM = 169007938008/1918
LCM = 88116756
Thus, we can understand that the LCM of 741,548,434,959 is 88116756.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 741, 548, 434, 959
1. What is the LCM of 741, 548, 434, 959?
Answer: LCM of 741, 548, 434, 959 is 88116756.
2. How to calculate the LCM of 741, 548, 434, 959?
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, 548, 434, 959.
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}.