LCM of 791, 168, 942, 959, 548
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 791, 168, 942, 959, 548 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 791, 168, 942, 959, 548. So, keep reading to learn more.
Given numbers are 791,168,942,959,548
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 791,168,942,959,548 is 408326856.
Find LCM of 791,168,942,959,548 with Prime Factorization
| 2 | 791, 168, 942, 959, 548 |
| 2 | 791, 84, 471, 959, 274 |
| 3 | 791, 42, 471, 959, 137 |
| 7 | 791, 14, 157, 959, 137 |
| 137 | 113, 2, 157, 137, 137 |
| 113, 2, 157, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 137 x 113 x 2 x 157 x 1 x 1 = 408326856
Therefore, the lowest common multiple of 791,168,942,959,548 is 408326856.
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.
791 x 168 x 942 x 959 x 548 = 65786356423872
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.
791 : 1, 7, 113, 791
168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
942 : 1, 2, 3, 6, 157, 314, 471, 942
959 : 1, 7, 137, 959
548 : 1, 2, 4, 137, 274, 548
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 791,168,942,959,548, is 1.
Now, the common factors can be found like this.
791:7x 113
168:2x 2x 2x 3x 7
942:2x 3x 157
959:7x 137
548:2x 2x 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 2x 2x 3x 7x 7x 137 = 161112
Therefore, the value for common factors is 161112.
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 = 65786356423872/(1x161112)
LCM = 65786356423872/161112
LCM = 408326856
Thus, we can understand that the LCM of 791,168,942,959,548 is 408326856.
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FAQs on LCM of 791, 168, 942, 959, 548
1. What is the LCM of 791, 168, 942, 959, 548?
Answer: LCM of 791, 168, 942, 959, 548 is 408326856.
2. How to calculate the LCM of 791, 168, 942, 959, 548?
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 791, 168, 942, 959, 548.
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}.