LCM of 879, 384, 774, 946
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 879, 384, 774, 946 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 879, 384, 774, 946. So, keep reading to learn more.
Given numbers are 879,384,774,946
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 879,384,774,946 is 159654528.
Find LCM of 879,384,774,946 with Prime Factorization
| 2 | 879, 384, 774, 946 |
| 3 | 879, 192, 387, 473 |
| 43 | 293, 64, 129, 473 |
| 293, 64, 3, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 43 x 293 x 64 x 3 x 11 = 159654528
Therefore, the lowest common multiple of 879,384,774,946 is 159654528.
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.
879 x 384 x 774 x 946 = 247145209344
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.
879 : 1, 3, 293, 879
384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
946 : 1, 2, 11, 22, 43, 86, 473, 946
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 879,384,774,946, is 1.
Now, the common factors can be found like this.
879:3x 293
384:2x 2x 2x 2x 2x 2x 2x 3
774:2x 3x 3x 43
946:2x 11x 43
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 43 = 1548
Therefore, the value for common factors is 1548.
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 = 247145209344/(1x1548)
LCM = 247145209344/1548
LCM = 159654528
Thus, we can understand that the LCM of 879,384,774,946 is 159654528.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 879, 384, 774, 946
1. What is the LCM of 879, 384, 774, 946?
Answer: LCM of 879, 384, 774, 946 is 159654528.
2. How to calculate the LCM of 879, 384, 774, 946?
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 879, 384, 774, 946.
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}.