LCM of 835, 778, 903, 542, 616
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 835, 778, 903, 542, 616 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 835, 778, 903, 542, 616. So, keep reading to learn more.
Given numbers are 835,778,903,542,616
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 835,778,903,542,616 is 6994807872360.
Find LCM of 835,778,903,542,616 with Prime Factorization
| 2 | 835, 778, 903, 542, 616 |
| 7 | 835, 389, 903, 271, 308 |
| 835, 389, 129, 271, 44 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 835 x 389 x 129 x 271 x 44 = 6994807872360
Therefore, the lowest common multiple of 835,778,903,542,616 is 6994807872360.
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.
835 x 778 x 903 x 542 x 616 = 195854620426080
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.
835 : 1, 5, 167, 835
778 : 1, 2, 389, 778
903 : 1, 3, 7, 21, 43, 129, 301, 903
542 : 1, 2, 271, 542
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 835,778,903,542,616, is 1.
Now, the common factors can be found like this.
835:5x 167
778:2x 389
903:3x 7x 43
542:2x 271
616:2x 2x 2x 7x 11
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 7 = 28
Therefore, the value for common factors is 28.
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 = 195854620426080/(1x28)
LCM = 195854620426080/28
LCM = 6994807872360
Thus, we can understand that the LCM of 835,778,903,542,616 is 6994807872360.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 835, 778, 903, 542, 616
1. What is the LCM of 835, 778, 903, 542, 616?
Answer: LCM of 835, 778, 903, 542, 616 is 6994807872360.
2. How to calculate the LCM of 835, 778, 903, 542, 616?
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 835, 778, 903, 542, 616.
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}.