LCM of 978, 732, 366, 541, 320
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 978, 732, 366, 541, 320 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, 732, 366, 541, 320. So, keep reading to learn more.
Given numbers are 978,732,366,541,320
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 978,732,366,541,320 is 5163996480.
Find LCM of 978,732,366,541,320 with Prime Factorization
| 2 | 978, 732, 366, 541, 320 |
| 2 | 489, 366, 183, 541, 160 |
| 3 | 489, 183, 183, 541, 80 |
| 61 | 163, 61, 61, 541, 80 |
| 163, 1, 1, 541, 80 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 61 x 163 x 1 x 1 x 541 x 80 = 5163996480
Therefore, the lowest common multiple of 978,732,366,541,320 is 5163996480.
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 732 x 366 x 541 x 320 = 45360545080320
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
732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
366 : 1, 2, 3, 6, 61, 122, 183, 366
541 : 1, 541
320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 978,732,366,541,320, is 1.
Now, the common factors can be found like this.
978:2x 3x 163
732:2x 2x 3x 61
366:2x 3x 61
541:541
320:2x 2x 2x 2x 2x 2x 5
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 3x 61 = 8784
Therefore, the value for common factors is 8784.
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 = 45360545080320/(1x8784)
LCM = 45360545080320/8784
LCM = 5163996480
Thus, we can understand that the LCM of 978,732,366,541,320 is 5163996480.
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FAQs on LCM of 978, 732, 366, 541, 320
1. What is the LCM of 978, 732, 366, 541, 320?
Answer: LCM of 978, 732, 366, 541, 320 is 5163996480.
2. How to calculate the LCM of 978, 732, 366, 541, 320?
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, 732, 366, 541, 320.
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}.