LCM of 978, 572, 728, 898
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 978, 572, 728, 898 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 978, 572, 728, 898. So, keep reading to learn more.
Given numbers are 978,572,728,898
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 978,572,728,898 is 1758244488.
Find LCM of 978,572,728,898 with Prime Factorization
| 2 | 978, 572, 728, 898 |
| 2 | 489, 286, 364, 449 |
| 13 | 489, 143, 182, 449 |
| 489, 11, 14, 449 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 489 x 11 x 14 x 449 = 1758244488
Therefore, the lowest common multiple of 978,572,728,898 is 1758244488.
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.
978 x 572 x 728 x 898 = 365714853504
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.
978 : 1, 2, 3, 6, 163, 326, 489, 978
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
898 : 1, 2, 449, 898
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 978,572,728,898, is 2.
Now, the common factors can be found like this.
978:2x 3x 163
572:2x 2x 11x 13
728:2x 2x 2x 7x 13
898:2x 449
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 2x 13 = 104
Therefore, the value for common factors is 104.
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 = 365714853504/(2x104)
LCM = 365714853504/208
LCM = 1758244488
Thus, we can understand that the LCM of 978,572,728,898 is 1758244488.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 978, 572, 728, 898
1. What is the LCM of 978, 572, 728, 898?
Answer: LCM of 978, 572, 728, 898 is 1758244488.
2. How to calculate the LCM of 978, 572, 728, 898?
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 978, 572, 728, 898.
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}.