LCM of 980, 648, 440, 180, 716
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 980, 648, 440, 180, 716 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 980, 648, 440, 180, 716. So, keep reading to learn more.
Given numbers are 980,648,440,180,716
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 980,648,440,180,716 is 312598440.
Find LCM of 980,648,440,180,716 with Prime Factorization
| 2 | 980, 648, 440, 180, 716 |
| 2 | 490, 324, 220, 90, 358 |
| 2 | 245, 162, 110, 45, 179 |
| 3 | 245, 81, 55, 45, 179 |
| 3 | 245, 27, 55, 15, 179 |
| 5 | 245, 9, 55, 5, 179 |
| 49, 9, 11, 1, 179 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 5 x 49 x 9 x 11 x 1 x 179 = 312598440
Therefore, the lowest common multiple of 980,648,440,180,716 is 312598440.
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.
980 x 648 x 440 x 180 x 716 = 36011340288000
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.
980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
716 : 1, 2, 4, 179, 358, 716
4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 980,648,440,180,716, is 4.
Now, the common factors can be found like this.
980:2x 2x 5x 7x 7
648:2x 2x 2x 3x 3x 3x 3
440:2x 2x 2x 5x 11
180:2x 2x 3x 3x 5
716:2x 2x 179
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 2x 2x 3x 3x 5x 5 = 28800
Therefore, the value for common factors is 28800.
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 = 36011340288000/(4x28800)
LCM = 36011340288000/115200
LCM = 312598440
Thus, we can understand that the LCM of 980,648,440,180,716 is 312598440.
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FAQs on LCM of 980, 648, 440, 180, 716
1. What is the LCM of 980, 648, 440, 180, 716?
Answer: LCM of 980, 648, 440, 180, 716 is 312598440.
2. How to calculate the LCM of 980, 648, 440, 180, 716?
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 980, 648, 440, 180, 716.
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}.