LCM of 978, 645, 555, 509, 457
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 978, 645, 555, 509, 457 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, 645, 555, 509, 457. So, keep reading to learn more.
Given numbers are 978,645,555,509,457
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 978,645,555,509,457 is 1809726813870.
Find LCM of 978,645,555,509,457 with Prime Factorization
| 3 | 978, 645, 555, 509, 457 |
| 5 | 326, 215, 185, 509, 457 |
| 326, 43, 37, 509, 457 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 326 x 43 x 37 x 509 x 457 = 1809726813870
Therefore, the lowest common multiple of 978,645,555,509,457 is 1809726813870.
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 645 x 555 x 509 x 457 = 81437706624150
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
645 : 1, 3, 5, 15, 43, 129, 215, 645
555 : 1, 3, 5, 15, 37, 111, 185, 555
509 : 1, 509
457 : 1, 457
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 978,645,555,509,457, is 1.
Now, the common factors can be found like this.
978:2x 3x 163
645:3x 5x 43
555:3x 5x 37
509:509
457:457
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 5 = 45
Therefore, the value for common factors is 45.
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 = 81437706624150/(1x45)
LCM = 81437706624150/45
LCM = 1809726813870
Thus, we can understand that the LCM of 978,645,555,509,457 is 1809726813870.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 978, 645, 555, 509, 457
1. What is the LCM of 978, 645, 555, 509, 457?
Answer: LCM of 978, 645, 555, 509, 457 is 1809726813870.
2. How to calculate the LCM of 978, 645, 555, 509, 457?
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, 645, 555, 509, 457.
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}.