LCM of 278, 905, 897, 728, 874
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 278, 905, 897, 728, 874 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 278, 905, 897, 728, 874. So, keep reading to learn more.
Given numbers are 278,905,897,728,874
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 278,905,897,728,874 is 120059754360.
Find LCM of 278,905,897,728,874 with Prime Factorization
| 2 | 278, 905, 897, 728, 874 |
| 13 | 139, 905, 897, 364, 437 |
| 23 | 139, 905, 69, 28, 437 |
| 139, 905, 3, 28, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 23 x 139 x 905 x 3 x 28 x 19 = 120059754360
Therefore, the lowest common multiple of 278,905,897,728,874 is 120059754360.
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.
278 x 905 x 897 x 728 x 874 = 143591466214560
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.
278 : 1, 2, 139, 278
905 : 1, 5, 181, 905
897 : 1, 3, 13, 23, 39, 69, 299, 897
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
874 : 1, 2, 19, 23, 38, 46, 437, 874
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 278,905,897,728,874, is 1.
Now, the common factors can be found like this.
278:2x 139
905:5x 181
897:3x 13x 23
728:2x 2x 2x 7x 13
874:2x 19x 23
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 13x 23 = 1196
Therefore, the value for common factors is 1196.
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 = 143591466214560/(1x1196)
LCM = 143591466214560/1196
LCM = 120059754360
Thus, we can understand that the LCM of 278,905,897,728,874 is 120059754360.
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FAQs on LCM of 278, 905, 897, 728, 874
1. What is the LCM of 278, 905, 897, 728, 874?
Answer: LCM of 278, 905, 897, 728, 874 is 120059754360.
2. How to calculate the LCM of 278, 905, 897, 728, 874?
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 278, 905, 897, 728, 874.
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}.