LCM of 846, 878, 867, 753, 978
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 846, 878, 867, 753, 978 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 846, 878, 867, 753, 978. So, keep reading to learn more.
Given numbers are 846,878,867,753,978
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 846,878,867,753,978 is 4391309546658.
Find LCM of 846,878,867,753,978 with Prime Factorization
| 2 | 846, 878, 867, 753, 978 |
| 3 | 423, 439, 867, 753, 489 |
| 141, 439, 289, 251, 163 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 141 x 439 x 289 x 251 x 163 = 4391309546658
Therefore, the lowest common multiple of 846,878,867,753,978 is 4391309546658.
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.
846 x 878 x 867 x 753 x 978 = 474261431039064
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.
846 : 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
878 : 1, 2, 439, 878
867 : 1, 3, 17, 51, 289, 867
753 : 1, 3, 251, 753
978 : 1, 2, 3, 6, 163, 326, 489, 978
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 846,878,867,753,978, is 1.
Now, the common factors can be found like this.
846:2x 3x 3x 47
878:2x 439
867:3x 17x 17
753:3x 251
978:2x 3x 163
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 3x 3x 3 = 108
Therefore, the value for common factors is 108.
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 = 474261431039064/(1x108)
LCM = 474261431039064/108
LCM = 4391309546658
Thus, we can understand that the LCM of 846,878,867,753,978 is 4391309546658.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 846, 878, 867, 753, 978
1. What is the LCM of 846, 878, 867, 753, 978?
Answer: LCM of 846, 878, 867, 753, 978 is 4391309546658.
2. How to calculate the LCM of 846, 878, 867, 753, 978?
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 846, 878, 867, 753, 978.
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}.