LCM of 865, 450, 105, 180, 980
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 865, 450, 105, 180, 980 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 865, 450, 105, 180, 980. So, keep reading to learn more.
Given numbers are 865,450,105,180,980
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 865,450,105,180,980 is 7629300.
Find LCM of 865,450,105,180,980 with Prime Factorization
| 2 | 865, 450, 105, 180, 980 |
| 2 | 865, 225, 105, 90, 490 |
| 3 | 865, 225, 105, 45, 245 |
| 3 | 865, 75, 35, 15, 245 |
| 5 | 865, 25, 35, 5, 245 |
| 7 | 173, 1, 7, 5, 49 |
| 173, 1, 1, 5, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 7 x 173 x 1 x 1 x 5 x 7 = 7629300
Therefore, the lowest common multiple of 865,450,105,180,980 is 7629300.
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.
865 x 450 x 105 x 180 x 980 = 7209688500000
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.
865 : 1, 5, 173, 865
450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
105 : 1, 3, 5, 7, 15, 21, 35, 105
180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
5 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 865,450,105,180,980, is 5.
Now, the common factors can be found like this.
865:5x 173
450:2x 3x 3x 5x 5
105:3x 5x 7
180:2x 2x 3x 3x 5
980:2x 2x 5x 7x 7
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 3x 3x 3x 5x 5x 5x 7 = 189000
Therefore, the value for common factors is 189000.
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 = 7209688500000/(5x189000)
LCM = 7209688500000/945000
LCM = 7629300
Thus, we can understand that the LCM of 865,450,105,180,980 is 7629300.
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FAQs on LCM of 865, 450, 105, 180, 980
1. What is the LCM of 865, 450, 105, 180, 980?
Answer: LCM of 865, 450, 105, 180, 980 is 7629300.
2. How to calculate the LCM of 865, 450, 105, 180, 980?
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 865, 450, 105, 180, 980.
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}.