LCM of 504, 978, 778, 320, 765
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 504, 978, 778, 320, 765 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 504, 978, 778, 320, 765. So, keep reading to learn more.
Given numbers are 504,978,778,320,765
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 504,978,778,320,765 is 21730847040.
Find LCM of 504,978,778,320,765 with Prime Factorization
| 2 | 504, 978, 778, 320, 765 |
| 2 | 252, 489, 389, 160, 765 |
| 2 | 126, 489, 389, 80, 765 |
| 3 | 63, 489, 389, 40, 765 |
| 3 | 21, 163, 389, 40, 255 |
| 5 | 7, 163, 389, 40, 85 |
| 7, 163, 389, 8, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 5 x 7 x 163 x 389 x 8 x 17 = 21730847040
Therefore, the lowest common multiple of 504,978,778,320,765 is 21730847040.
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.
504 x 978 x 778 x 320 x 765 = 93877259212800
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.
504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
978 : 1, 2, 3, 6, 163, 326, 489, 978
778 : 1, 2, 389, 778
320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 504,978,778,320,765, is 1.
Now, the common factors can be found like this.
504:2x 2x 2x 3x 3x 7
978:2x 3x 163
778:2x 389
320:2x 2x 2x 2x 2x 2x 5
765:3x 3x 5x 17
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 2x 2x 3x 3x 3x 5 = 4320
Therefore, the value for common factors is 4320.
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 = 93877259212800/(1x4320)
LCM = 93877259212800/4320
LCM = 21730847040
Thus, we can understand that the LCM of 504,978,778,320,765 is 21730847040.
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FAQs on LCM of 504, 978, 778, 320, 765
1. What is the LCM of 504, 978, 778, 320, 765?
Answer: LCM of 504, 978, 778, 320, 765 is 21730847040.
2. How to calculate the LCM of 504, 978, 778, 320, 765?
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 504, 978, 778, 320, 765.
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}.