LCM of 899, 960, 874, 542, 804
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 899, 960, 874, 542, 804 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 899, 960, 874, 542, 804. So, keep reading to learn more.
Given numbers are 899,960,874,542,804
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 899,960,874,542,804 is 6847884951360.
Find LCM of 899,960,874,542,804 with Prime Factorization
| 2 | 899, 960, 874, 542, 804 |
| 2 | 899, 480, 437, 271, 402 |
| 3 | 899, 240, 437, 271, 201 |
| 899, 80, 437, 271, 67 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 899 x 80 x 437 x 271 x 67 = 6847884951360
Therefore, the lowest common multiple of 899,960,874,542,804 is 6847884951360.
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.
899 x 960 x 874 x 542 x 804 = 328698477665280
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.
899 : 1, 29, 31, 899
960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
874 : 1, 2, 19, 23, 38, 46, 437, 874
542 : 1, 2, 271, 542
804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 899,960,874,542,804, is 1.
Now, the common factors can be found like this.
899:29x 31
960:2x 2x 2x 2x 2x 2x 3x 5
874:2x 19x 23
542:2x 271
804:2x 2x 3x 67
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 3 = 48
Therefore, the value for common factors is 48.
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 = 328698477665280/(1x48)
LCM = 328698477665280/48
LCM = 6847884951360
Thus, we can understand that the LCM of 899,960,874,542,804 is 6847884951360.
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FAQs on LCM of 899, 960, 874, 542, 804
1. What is the LCM of 899, 960, 874, 542, 804?
Answer: LCM of 899, 960, 874, 542, 804 is 6847884951360.
2. How to calculate the LCM of 899, 960, 874, 542, 804?
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 899, 960, 874, 542, 804.
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}.