LCM of 972, 714, 816, 249, 633
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 972, 714, 816, 249, 633 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, 714, 816, 249, 633. So, keep reading to learn more.
Given numbers are 972,714,816,249,633
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 972,714,816,249,633 is 8102774736.
Find LCM of 972,714,816,249,633 with Prime Factorization
| 2 | 972, 714, 816, 249, 633 |
| 2 | 486, 357, 408, 249, 633 |
| 3 | 243, 357, 204, 249, 633 |
| 17 | 81, 119, 68, 83, 211 |
| 81, 7, 4, 83, 211 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 17 x 81 x 7 x 4 x 83 x 211 = 8102774736
Therefore, the lowest common multiple of 972,714,816,249,633 is 8102774736.
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 714 x 816 x 249 x 633 = 89260166491776
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
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
249 : 1, 3, 83, 249
633 : 1, 3, 211, 633
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 972,714,816,249,633, is 3.
Now, the common factors can be found like this.
972:2x 2x 3x 3x 3x 3x 3
714:2x 3x 7x 17
816:2x 2x 2x 2x 3x 17
249:3x 83
633:3x 211
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 17 = 3672
Therefore, the value for common factors is 3672.
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 = 89260166491776/(3x3672)
LCM = 89260166491776/11016
LCM = 8102774736
Thus, we can understand that the LCM of 972,714,816,249,633 is 8102774736.
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FAQs on LCM of 972, 714, 816, 249, 633
1. What is the LCM of 972, 714, 816, 249, 633?
Answer: LCM of 972, 714, 816, 249, 633 is 8102774736.
2. How to calculate the LCM of 972, 714, 816, 249, 633?
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, 714, 816, 249, 633.
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}.