LCM of 358, 978, 105, 343, 991
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 358, 978, 105, 343, 991 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 358, 978, 105, 343, 991. So, keep reading to learn more.
Given numbers are 358,978,105,343,991
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 358,978,105,343,991 is 297529248030.
Find LCM of 358,978,105,343,991 with Prime Factorization
| 2 | 358, 978, 105, 343, 991 |
| 3 | 179, 489, 105, 343, 991 |
| 7 | 179, 163, 35, 343, 991 |
| 179, 163, 5, 49, 991 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 179 x 163 x 5 x 49 x 991 = 297529248030
Therefore, the lowest common multiple of 358,978,105,343,991 is 297529248030.
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.
358 x 978 x 105 x 343 x 991 = 12496228417260
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.
358 : 1, 2, 179, 358
978 : 1, 2, 3, 6, 163, 326, 489, 978
105 : 1, 3, 5, 7, 15, 21, 35, 105
343 : 1, 7, 49, 343
991 : 1, 991
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 358,978,105,343,991, is 1.
Now, the common factors can be found like this.
358:2x 179
978:2x 3x 163
105:3x 5x 7
343:7x 7x 7
991:991
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 7 = 42
Therefore, the value for common factors is 42.
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 = 12496228417260/(1x42)
LCM = 12496228417260/42
LCM = 297529248030
Thus, we can understand that the LCM of 358,978,105,343,991 is 297529248030.
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FAQs on LCM of 358, 978, 105, 343, 991
1. What is the LCM of 358, 978, 105, 343, 991?
Answer: LCM of 358, 978, 105, 343, 991 is 297529248030.
2. How to calculate the LCM of 358, 978, 105, 343, 991?
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 358, 978, 105, 343, 991.
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}.