LCM of 980, 539, 576, 682, 929
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 980, 539, 576, 682, 929 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, 539, 576, 682, 929. So, keep reading to learn more.
Given numbers are 980,539,576,682,929
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 980,539,576,682,929 is 44705263680.
Find LCM of 980,539,576,682,929 with Prime Factorization
| 2 | 980, 539, 576, 682, 929 |
| 2 | 490, 539, 288, 341, 929 |
| 7 | 245, 539, 144, 341, 929 |
| 7 | 35, 77, 144, 341, 929 |
| 11 | 5, 11, 144, 341, 929 |
| 5, 1, 144, 31, 929 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 7 x 11 x 5 x 1 x 144 x 31 x 929 = 44705263680
Therefore, the lowest common multiple of 980,539,576,682,929 is 44705263680.
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 539 x 576 x 682 x 929 = 192769096988160
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
539 : 1, 7, 11, 49, 77, 539
576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
682 : 1, 2, 11, 22, 31, 62, 341, 682
929 : 1, 929
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 980,539,576,682,929, is 1.
Now, the common factors can be found like this.
980:2x 2x 5x 7x 7
539:7x 7x 11
576:2x 2x 2x 2x 2x 2x 3x 3
682:2x 11x 31
929:929
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 7x 7x 11 = 4312
Therefore, the value for common factors is 4312.
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 = 192769096988160/(1x4312)
LCM = 192769096988160/4312
LCM = 44705263680
Thus, we can understand that the LCM of 980,539,576,682,929 is 44705263680.
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FAQs on LCM of 980, 539, 576, 682, 929
1. What is the LCM of 980, 539, 576, 682, 929?
Answer: LCM of 980, 539, 576, 682, 929 is 44705263680.
2. How to calculate the LCM of 980, 539, 576, 682, 929?
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, 539, 576, 682, 929.
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}.