LCM of 846, 374, 374, 978
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 846, 374, 374, 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, 374, 374, 978. So, keep reading to learn more.
Given numbers are 846,374,374,978
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 846,374,374,978 is 25786926.
Find LCM of 846,374,374,978 with Prime Factorization
| 2 | 846, 374, 374, 978 |
| 3 | 423, 187, 187, 489 |
| 11 | 141, 187, 187, 163 |
| 17 | 141, 17, 17, 163 |
| 141, 1, 1, 163 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 17 x 141 x 1 x 1 x 163 = 25786926
Therefore, the lowest common multiple of 846,374,374,978 is 25786926.
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 374 x 374 x 978 = 115731723888
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
374 : 1, 2, 11, 17, 22, 34, 187, 374
374 : 1, 2, 11, 17, 22, 34, 187, 374
978 : 1, 2, 3, 6, 163, 326, 489, 978
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 846,374,374,978, is 2.
Now, the common factors can be found like this.
846:2x 3x 3x 47
374:2x 11x 17
374:2x 11x 17
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 11x 17 = 2244
Therefore, the value for common factors is 2244.
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 = 115731723888/(2x2244)
LCM = 115731723888/4488
LCM = 25786926
Thus, we can understand that the LCM of 846,374,374,978 is 25786926.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 846, 374, 374, 978
1. What is the LCM of 846, 374, 374, 978?
Answer: LCM of 846, 374, 374, 978 is 25786926.
2. How to calculate the LCM of 846, 374, 374, 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, 374, 374, 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}.