LCM of 459, 377, 359, 815, 978
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 459, 377, 359, 815, 978 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 459, 377, 359, 815, 978. So, keep reading to learn more.
Given numbers are 459,377,359,815,978
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 459,377,359,815,978 is 101259572310.
Find LCM of 459,377,359,815,978 with Prime Factorization
| 3 | 459, 377, 359, 815, 978 |
| 163 | 153, 377, 359, 815, 326 |
| 153, 377, 359, 5, 2 |
Multiply the prime numbers at the bottom and the left side.
3 x 163 x 153 x 377 x 359 x 5 x 2 = 101259572310
Therefore, the lowest common multiple of 459,377,359,815,978 is 101259572310.
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.
459 x 377 x 359 x 815 x 978 = 49515930859590
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.
459 : 1, 3, 9, 17, 27, 51, 153, 459
377 : 1, 13, 29, 377
359 : 1, 359
815 : 1, 5, 163, 815
978 : 1, 2, 3, 6, 163, 326, 489, 978
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 459,377,359,815,978, is 1.
Now, the common factors can be found like this.
459:3x 3x 3x 17
377:13x 29
359:359
815:5x 163
978:2x 3x 163
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 163 = 489
Therefore, the value for common factors is 489.
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 = 49515930859590/(1x489)
LCM = 49515930859590/489
LCM = 101259572310
Thus, we can understand that the LCM of 459,377,359,815,978 is 101259572310.
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FAQs on LCM of 459, 377, 359, 815, 978
1. What is the LCM of 459, 377, 359, 815, 978?
Answer: LCM of 459, 377, 359, 815, 978 is 101259572310.
2. How to calculate the LCM of 459, 377, 359, 815, 978?
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 459, 377, 359, 815, 978.
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}.