LCM of 869, 553, 874, 345
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 869, 553, 874, 345 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 869, 553, 874, 345. So, keep reading to learn more.
Given numbers are 869,553,874,345
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 869,553,874,345 is 79748130.
Find LCM of 869,553,874,345 with Prime Factorization
| 23 | 869, 553, 874, 345 |
| 79 | 869, 553, 38, 15 |
| 11, 7, 38, 15 |
Multiply the prime numbers at the bottom and the left side.
23 x 79 x 11 x 7 x 38 x 15 = 79748130
Therefore, the lowest common multiple of 869,553,874,345 is 79748130.
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.
869 x 553 x 874 x 345 = 144902352210
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.
869 : 1, 11, 79, 869
553 : 1, 7, 79, 553
874 : 1, 2, 19, 23, 38, 46, 437, 874
345 : 1, 3, 5, 15, 23, 69, 115, 345
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 869,553,874,345, is 1.
Now, the common factors can be found like this.
869:11x 79
553:7x 79
874:2x 19x 23
345:3x 5x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
23x 79 = 1817
Therefore, the value for common factors is 1817.
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 = 144902352210/(1x1817)
LCM = 144902352210/1817
LCM = 79748130
Thus, we can understand that the LCM of 869,553,874,345 is 79748130.
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FAQs on LCM of 869, 553, 874, 345
1. What is the LCM of 869, 553, 874, 345?
Answer: LCM of 869, 553, 874, 345 is 79748130.
2. How to calculate the LCM of 869, 553, 874, 345?
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 869, 553, 874, 345.
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}.