LCM of 942, 369, 612, 978, 199
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 942, 369, 612, 978, 199 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 942, 369, 612, 978, 199. So, keep reading to learn more.
Given numbers are 942,369,612,978,199
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 942,369,612,978,199 is 127783745028.
Find LCM of 942,369,612,978,199 with Prime Factorization
| 2 | 942, 369, 612, 978, 199 |
| 3 | 471, 369, 306, 489, 199 |
| 3 | 157, 123, 102, 163, 199 |
| 157, 41, 34, 163, 199 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 157 x 41 x 34 x 163 x 199 = 127783745028
Therefore, the lowest common multiple of 942,369,612,978,199 is 127783745028.
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.
942 x 369 x 612 x 978 x 199 = 41401933389072
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.
942 : 1, 2, 3, 6, 157, 314, 471, 942
369 : 1, 3, 9, 41, 123, 369
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
978 : 1, 2, 3, 6, 163, 326, 489, 978
199 : 1, 199
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 942,369,612,978,199, is 1.
Now, the common factors can be found like this.
942:2x 3x 157
369:3x 3x 41
612:2x 2x 3x 3x 17
978:2x 3x 163
199:199
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 3x 3x 3x 3 = 324
Therefore, the value for common factors is 324.
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 = 41401933389072/(1x324)
LCM = 41401933389072/324
LCM = 127783745028
Thus, we can understand that the LCM of 942,369,612,978,199 is 127783745028.
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FAQs on LCM of 942, 369, 612, 978, 199
1. What is the LCM of 942, 369, 612, 978, 199?
Answer: LCM of 942, 369, 612, 978, 199 is 127783745028.
2. How to calculate the LCM of 942, 369, 612, 978, 199?
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 942, 369, 612, 978, 199.
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}.