LCM of 819, 978, 754, 319
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 819, 978, 754, 319 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 819, 978, 754, 319. So, keep reading to learn more.
Given numbers are 819,978,754,319
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 819,978,754,319 is 85171086.
Find LCM of 819,978,754,319 with Prime Factorization
| 2 | 819, 978, 754, 319 |
| 3 | 819, 489, 377, 319 |
| 13 | 273, 163, 377, 319 |
| 29 | 21, 163, 29, 319 |
| 21, 163, 1, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 29 x 21 x 163 x 1 x 11 = 85171086
Therefore, the lowest common multiple of 819,978,754,319 is 85171086.
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.
819 x 978 x 754 x 319 = 192656996532
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.
819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
978 : 1, 2, 3, 6, 163, 326, 489, 978
754 : 1, 2, 13, 26, 29, 58, 377, 754
319 : 1, 11, 29, 319
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 819,978,754,319, is 1.
Now, the common factors can be found like this.
819:3x 3x 7x 13
978:2x 3x 163
754:2x 13x 29
319:11x 29
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 13x 29 = 2262
Therefore, the value for common factors is 2262.
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 = 192656996532/(1x2262)
LCM = 192656996532/2262
LCM = 85171086
Thus, we can understand that the LCM of 819,978,754,319 is 85171086.
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FAQs on LCM of 819, 978, 754, 319
1. What is the LCM of 819, 978, 754, 319?
Answer: LCM of 819, 978, 754, 319 is 85171086.
2. How to calculate the LCM of 819, 978, 754, 319?
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 819, 978, 754, 319.
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}.