LCM of 972, 977, 462, 798, 220
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 972, 977, 462, 798, 220 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, 977, 462, 798, 220. So, keep reading to learn more.
Given numbers are 972,977,462,798,220
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 972,977,462,798,220 is 6946645860.
Find LCM of 972,977,462,798,220 with Prime Factorization
| 2 | 972, 977, 462, 798, 220 |
| 2 | 486, 977, 231, 399, 110 |
| 3 | 243, 977, 231, 399, 55 |
| 7 | 81, 977, 77, 133, 55 |
| 11 | 81, 977, 11, 19, 55 |
| 81, 977, 1, 19, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 11 x 81 x 977 x 1 x 19 x 5 = 6946645860
Therefore, the lowest common multiple of 972,977,462,798,220 is 6946645860.
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 977 x 462 x 798 x 220 = 77024409295680
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
977 : 1, 977
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 972,977,462,798,220, is 1.
Now, the common factors can be found like this.
972:2x 2x 3x 3x 3x 3x 3
977:977
462:2x 3x 7x 11
798:2x 3x 7x 19
220:2x 2x 5x 11
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 3x 7x 11 = 11088
Therefore, the value for common factors is 11088.
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 = 77024409295680/(1x11088)
LCM = 77024409295680/11088
LCM = 6946645860
Thus, we can understand that the LCM of 972,977,462,798,220 is 6946645860.
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FAQs on LCM of 972, 977, 462, 798, 220
1. What is the LCM of 972, 977, 462, 798, 220?
Answer: LCM of 972, 977, 462, 798, 220 is 6946645860.
2. How to calculate the LCM of 972, 977, 462, 798, 220?
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, 977, 462, 798, 220.
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}.