LCM of 919, 109, 992, 820, 535
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 919, 109, 992, 820, 535 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, 109, 992, 820, 535. So, keep reading to learn more.
Given numbers are 919,109,992,820,535
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 919,109,992,820,535 is 2179672877920.
Find LCM of 919,109,992,820,535 with Prime Factorization
| 2 | 919, 109, 992, 820, 535 |
| 2 | 919, 109, 496, 410, 535 |
| 5 | 919, 109, 248, 205, 535 |
| 919, 109, 248, 41, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 919 x 109 x 248 x 41 x 107 = 2179672877920
Therefore, the lowest common multiple of 919,109,992,820,535 is 2179672877920.
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 109 x 992 x 820 x 535 = 43593457558400
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
109 : 1, 109
992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
535 : 1, 5, 107, 535
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 919,109,992,820,535, is 1.
Now, the common factors can be found like this.
919:919
109:109
992:2x 2x 2x 2x 2x 31
820:2x 2x 5x 41
535:5x 107
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 5 = 20
Therefore, the value for common factors is 20.
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 = 43593457558400/(1x20)
LCM = 43593457558400/20
LCM = 2179672877920
Thus, we can understand that the LCM of 919,109,992,820,535 is 2179672877920.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 919, 109, 992, 820, 535
1. What is the LCM of 919, 109, 992, 820, 535?
Answer: LCM of 919, 109, 992, 820, 535 is 2179672877920.
2. How to calculate the LCM of 919, 109, 992, 820, 535?
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, 109, 992, 820, 535.
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}.