LCM of 879, 260, 482, 870, 594
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 879, 260, 482, 870, 594 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, 260, 482, 870, 594. So, keep reading to learn more.
Given numbers are 879,260,482,870,594
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 879,260,482,870,594 is 158129339940.
Find LCM of 879,260,482,870,594 with Prime Factorization
| 2 | 879, 260, 482, 870, 594 |
| 3 | 879, 130, 241, 435, 297 |
| 5 | 293, 130, 241, 145, 99 |
| 293, 26, 241, 29, 99 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 293 x 26 x 241 x 29 x 99 = 158129339940
Therefore, the lowest common multiple of 879,260,482,870,594 is 158129339940.
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 260 x 482 x 870 x 594 = 56926562378400
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
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
482 : 1, 2, 241, 482
870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 879,260,482,870,594, is 1.
Now, the common factors can be found like this.
879:3x 293
260:2x 2x 5x 13
482:2x 241
870:2x 3x 5x 29
594:2x 3x 3x 3x 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 2x 3x 3x 5 = 360
Therefore, the value for common factors is 360.
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 = 56926562378400/(1x360)
LCM = 56926562378400/360
LCM = 158129339940
Thus, we can understand that the LCM of 879,260,482,870,594 is 158129339940.
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FAQs on LCM of 879, 260, 482, 870, 594
1. What is the LCM of 879, 260, 482, 870, 594?
Answer: LCM of 879, 260, 482, 870, 594 is 158129339940.
2. How to calculate the LCM of 879, 260, 482, 870, 594?
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, 260, 482, 870, 594.
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}.