LCM of 972, 741, 676, 958, 310
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 972, 741, 676, 958, 310 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 972, 741, 676, 958, 310. So, keep reading to learn more.
Given numbers are 972,741,676,958,310
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 972,741,676,958,310 is 231725475540.
Find LCM of 972,741,676,958,310 with Prime Factorization
| 2 | 972, 741, 676, 958, 310 |
| 2 | 486, 741, 338, 479, 155 |
| 3 | 243, 741, 169, 479, 155 |
| 13 | 81, 247, 169, 479, 155 |
| 81, 19, 13, 479, 155 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 81 x 19 x 13 x 479 x 155 = 231725475540
Therefore, the lowest common multiple of 972,741,676,958,310 is 231725475540.
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.
972 x 741 x 676 x 958 x 310 = 144596696736960
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.
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
741 : 1, 3, 13, 19, 39, 57, 247, 741
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
958 : 1, 2, 479, 958
310 : 1, 2, 5, 10, 31, 62, 155, 310
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 972,741,676,958,310, is 1.
Now, the common factors can be found like this.
972:2x 2x 3x 3x 3x 3x 3
741:3x 13x 19
676:2x 2x 13x 13
958:2x 479
310:2x 5x 31
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 13 = 624
Therefore, the value for common factors is 624.
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 = 144596696736960/(1x624)
LCM = 144596696736960/624
LCM = 231725475540
Thus, we can understand that the LCM of 972,741,676,958,310 is 231725475540.
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FAQs on LCM of 972, 741, 676, 958, 310
1. What is the LCM of 972, 741, 676, 958, 310?
Answer: LCM of 972, 741, 676, 958, 310 is 231725475540.
2. How to calculate the LCM of 972, 741, 676, 958, 310?
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 972, 741, 676, 958, 310.
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}.