LCM of 874, 733, 756, 969, 684
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 874, 733, 756, 969, 684 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 874, 733, 756, 969, 684. So, keep reading to learn more.
Given numbers are 874,733,756,969,684
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 874,733,756,969,684 is 4116765492.
Find LCM of 874,733,756,969,684 with Prime Factorization
| 2 | 874, 733, 756, 969, 684 |
| 2 | 437, 733, 378, 969, 342 |
| 3 | 437, 733, 189, 969, 171 |
| 3 | 437, 733, 63, 323, 57 |
| 19 | 437, 733, 21, 323, 19 |
| 23, 733, 21, 17, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 19 x 23 x 733 x 21 x 17 x 1 = 4116765492
Therefore, the lowest common multiple of 874,733,756,969,684 is 4116765492.
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.
874 x 733 x 756 x 969 x 684 = 321008906004192
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.
874 : 1, 2, 19, 23, 38, 46, 437, 874
733 : 1, 733
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
969 : 1, 3, 17, 19, 51, 57, 323, 969
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 874,733,756,969,684, is 1.
Now, the common factors can be found like this.
874:2x 19x 23
733:733
756:2x 2x 3x 3x 3x 7
969:3x 17x 19
684:2x 2x 3x 3x 19
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 19x 19 = 77976
Therefore, the value for common factors is 77976.
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 = 321008906004192/(1x77976)
LCM = 321008906004192/77976
LCM = 4116765492
Thus, we can understand that the LCM of 874,733,756,969,684 is 4116765492.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 874, 733, 756, 969, 684
1. What is the LCM of 874, 733, 756, 969, 684?
Answer: LCM of 874, 733, 756, 969, 684 is 4116765492.
2. How to calculate the LCM of 874, 733, 756, 969, 684?
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 874, 733, 756, 969, 684.
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}.