LCM of 919, 978, 126, 242, 363
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 919, 978, 126, 242, 363 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 919, 978, 126, 242, 363. So, keep reading to learn more.
Given numbers are 919,978,126,242,363
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 919,978,126,242,363 is 2283805062.
Find LCM of 919,978,126,242,363 with Prime Factorization
| 2 | 919, 978, 126, 242, 363 |
| 3 | 919, 489, 63, 121, 363 |
| 11 | 919, 163, 21, 121, 121 |
| 11 | 919, 163, 21, 11, 11 |
| 919, 163, 21, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 11 x 919 x 163 x 21 x 1 x 1 = 2283805062
Therefore, the lowest common multiple of 919,978,126,242,363 is 2283805062.
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.
919 x 978 x 126 x 242 x 363 = 9948254850072
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.
919 : 1, 919
978 : 1, 2, 3, 6, 163, 326, 489, 978
126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
242 : 1, 2, 11, 22, 121, 242
363 : 1, 3, 11, 33, 121, 363
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 919,978,126,242,363, is 1.
Now, the common factors can be found like this.
919:919
978:2x 3x 163
126:2x 3x 3x 7
242:2x 11x 11
363:3x 11x 11
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 11x 11 = 4356
Therefore, the value for common factors is 4356.
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 = 9948254850072/(1x4356)
LCM = 9948254850072/4356
LCM = 2283805062
Thus, we can understand that the LCM of 919,978,126,242,363 is 2283805062.
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FAQs on LCM of 919, 978, 126, 242, 363
1. What is the LCM of 919, 978, 126, 242, 363?
Answer: LCM of 919, 978, 126, 242, 363 is 2283805062.
2. How to calculate the LCM of 919, 978, 126, 242, 363?
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 919, 978, 126, 242, 363.
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}.