LCM of 874, 396, 547, 678, 961
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 874, 396, 547, 678, 961 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, 396, 547, 678, 961. So, keep reading to learn more.
Given numbers are 874,396,547,678,961
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 874,396,547,678,961 is 10279353002292.
Find LCM of 874,396,547,678,961 with Prime Factorization
| 2 | 874, 396, 547, 678, 961 |
| 3 | 437, 198, 547, 339, 961 |
| 437, 66, 547, 113, 961 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 437 x 66 x 547 x 113 x 961 = 10279353002292
Therefore, the lowest common multiple of 874,396,547,678,961 is 10279353002292.
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 396 x 547 x 678 x 961 = 123352236027504
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
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
547 : 1, 547
678 : 1, 2, 3, 6, 113, 226, 339, 678
961 : 1, 31, 961
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 874,396,547,678,961, is 1.
Now, the common factors can be found like this.
874:2x 19x 23
396:2x 2x 3x 3x 11
547:547
678:2x 3x 113
961:31x 31
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 3 = 12
Therefore, the value for common factors is 12.
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 = 123352236027504/(1x12)
LCM = 123352236027504/12
LCM = 10279353002292
Thus, we can understand that the LCM of 874,396,547,678,961 is 10279353002292.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 874, 396, 547, 678, 961
1. What is the LCM of 874, 396, 547, 678, 961?
Answer: LCM of 874, 396, 547, 678, 961 is 10279353002292.
2. How to calculate the LCM of 874, 396, 547, 678, 961?
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, 396, 547, 678, 961.
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}.