LCM of 980, 878, 972, 729
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 980, 878, 972, 729 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, 878, 972, 729. So, keep reading to learn more.
Given numbers are 980,878,972,729
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 980,878,972,729 is 313630380.
Find LCM of 980,878,972,729 with Prime Factorization
| 2 | 980, 878, 972, 729 |
| 2 | 490, 439, 486, 729 |
| 3 | 245, 439, 243, 729 |
| 3 | 245, 439, 81, 243 |
| 3 | 245, 439, 27, 81 |
| 3 | 245, 439, 9, 27 |
| 3 | 245, 439, 3, 9 |
| 245, 439, 1, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 3 x 3 x 3 x 245 x 439 x 1 x 3 = 313630380
Therefore, the lowest common multiple of 980,878,972,729 is 313630380.
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 878 x 972 x 729 = 609697458720
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
878 : 1, 2, 439, 878
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
729 : 1, 3, 9, 27, 81, 243, 729
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 980,878,972,729, is 1.
Now, the common factors can be found like this.
980:2x 2x 5x 7x 7
878:2x 439
972:2x 2x 3x 3x 3x 3x 3
729:3x 3x 3x 3x 3x 3
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 3x 3 = 1944
Therefore, the value for common factors is 1944.
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 = 609697458720/(1x1944)
LCM = 609697458720/1944
LCM = 313630380
Thus, we can understand that the LCM of 980,878,972,729 is 313630380.
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FAQs on LCM of 980, 878, 972, 729
1. What is the LCM of 980, 878, 972, 729?
Answer: LCM of 980, 878, 972, 729 is 313630380.
2. How to calculate the LCM of 980, 878, 972, 729?
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, 878, 972, 729.
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}.