LCM of 936, 917, 969, 977, 442
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 936, 917, 969, 977, 442 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 936, 917, 969, 977, 442. So, keep reading to learn more.
Given numbers are 936,917,969,977,442
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 936,917,969,977,442 is 270858376152.
Find LCM of 936,917,969,977,442 with Prime Factorization
| 2 | 936, 917, 969, 977, 442 |
| 3 | 468, 917, 969, 977, 221 |
| 13 | 156, 917, 323, 977, 221 |
| 17 | 12, 917, 323, 977, 17 |
| 12, 917, 19, 977, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 17 x 12 x 917 x 19 x 977 x 1 = 270858376152
Therefore, the lowest common multiple of 936,917,969,977,442 is 270858376152.
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.
936 x 917 x 969 x 977 x 442 = 359158206777552
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.
936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
917 : 1, 7, 131, 917
969 : 1, 3, 17, 19, 51, 57, 323, 969
977 : 1, 977
442 : 1, 2, 13, 17, 26, 34, 221, 442
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 936,917,969,977,442, is 1.
Now, the common factors can be found like this.
936:2x 2x 2x 3x 3x 13
917:7x 131
969:3x 17x 19
977:977
442:2x 13x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 13x 17 = 1326
Therefore, the value for common factors is 1326.
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 = 359158206777552/(1x1326)
LCM = 359158206777552/1326
LCM = 270858376152
Thus, we can understand that the LCM of 936,917,969,977,442 is 270858376152.
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FAQs on LCM of 936, 917, 969, 977, 442
1. What is the LCM of 936, 917, 969, 977, 442?
Answer: LCM of 936, 917, 969, 977, 442 is 270858376152.
2. How to calculate the LCM of 936, 917, 969, 977, 442?
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 936, 917, 969, 977, 442.
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}.