LCM of 982, 615, 554, 924, 920
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 982, 615, 554, 924, 920 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 982, 615, 554, 924, 920. So, keep reading to learn more.
Given numbers are 982,615,554,924,920
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 982,615,554,924,920 is 1185072513240.
Find LCM of 982,615,554,924,920 with Prime Factorization
| 2 | 982, 615, 554, 924, 920 |
| 2 | 491, 615, 277, 462, 460 |
| 3 | 491, 615, 277, 231, 230 |
| 5 | 491, 205, 277, 77, 230 |
| 491, 41, 277, 77, 46 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 491 x 41 x 277 x 77 x 46 = 1185072513240
Therefore, the lowest common multiple of 982,615,554,924,920 is 1185072513240.
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.
982 x 615 x 554 x 924 x 920 = 284417403177600
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.
982 : 1, 2, 491, 982
615 : 1, 3, 5, 15, 41, 123, 205, 615
554 : 1, 2, 277, 554
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 982,615,554,924,920, is 1.
Now, the common factors can be found like this.
982:2x 491
615:3x 5x 41
554:2x 277
924:2x 2x 3x 7x 11
920:2x 2x 2x 5x 23
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 5 = 240
Therefore, the value for common factors is 240.
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 = 284417403177600/(1x240)
LCM = 284417403177600/240
LCM = 1185072513240
Thus, we can understand that the LCM of 982,615,554,924,920 is 1185072513240.
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FAQs on LCM of 982, 615, 554, 924, 920
1. What is the LCM of 982, 615, 554, 924, 920?
Answer: LCM of 982, 615, 554, 924, 920 is 1185072513240.
2. How to calculate the LCM of 982, 615, 554, 924, 920?
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 982, 615, 554, 924, 920.
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}.