LCM of 820, 902, 884, 390, 978
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 820, 902, 884, 390, 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 820, 902, 884, 390, 978. So, keep reading to learn more.
Given numbers are 820,902,884,390,978
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 820,902,884,390,978 is 974782380.
Find LCM of 820,902,884,390,978 with Prime Factorization
| 2 | 820, 902, 884, 390, 978 |
| 2 | 410, 451, 442, 195, 489 |
| 3 | 205, 451, 221, 195, 489 |
| 5 | 205, 451, 221, 65, 163 |
| 13 | 41, 451, 221, 13, 163 |
| 41 | 41, 451, 17, 1, 163 |
| 1, 11, 17, 1, 163 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 13 x 41 x 1 x 11 x 17 x 1 x 163 = 974782380
Therefore, the lowest common multiple of 820,902,884,390,978 is 974782380.
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.
820 x 902 x 884 x 390 x 978 = 249388324099200
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.
820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
902 : 1, 2, 11, 22, 41, 82, 451, 902
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
978 : 1, 2, 3, 6, 163, 326, 489, 978
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 820,902,884,390,978, is 2.
Now, the common factors can be found like this.
820:2x 2x 5x 41
902:2x 11x 41
884:2x 2x 13x 17
390:2x 3x 5x 13
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.
2x 2x 2x 2x 3x 5x 13x 41 = 127920
Therefore, the value for common factors is 127920.
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 = 249388324099200/(2x127920)
LCM = 249388324099200/255840
LCM = 974782380
Thus, we can understand that the LCM of 820,902,884,390,978 is 974782380.
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FAQs on LCM of 820, 902, 884, 390, 978
1. What is the LCM of 820, 902, 884, 390, 978?
Answer: LCM of 820, 902, 884, 390, 978 is 974782380.
2. How to calculate the LCM of 820, 902, 884, 390, 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 820, 902, 884, 390, 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}.