LCM of 346, 522, 710, 680, 856
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 346, 522, 710, 680, 856 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 346, 522, 710, 680, 856. So, keep reading to learn more.
Given numbers are 346,522,710,680,856
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 346,522,710,680,856 is 233258591880.
Find LCM of 346,522,710,680,856 with Prime Factorization
| 2 | 346, 522, 710, 680, 856 |
| 2 | 173, 261, 355, 340, 428 |
| 2 | 173, 261, 355, 170, 214 |
| 5 | 173, 261, 355, 85, 107 |
| 173, 261, 71, 17, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 173 x 261 x 71 x 17 x 107 = 233258591880
Therefore, the lowest common multiple of 346,522,710,680,856 is 233258591880.
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.
346 x 522 x 710 x 680 x 856 = 74642749401600
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.
346 : 1, 2, 173, 346
522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
710 : 1, 2, 5, 10, 71, 142, 355, 710
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
856 : 1, 2, 4, 8, 107, 214, 428, 856
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 346,522,710,680,856, is 2.
Now, the common factors can be found like this.
346:2x 173
522:2x 3x 3x 29
710:2x 5x 71
680:2x 2x 2x 5x 17
856:2x 2x 2x 107
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 2x 2x 5 = 160
Therefore, the value for common factors is 160.
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 = 74642749401600/(2x160)
LCM = 74642749401600/320
LCM = 233258591880
Thus, we can understand that the LCM of 346,522,710,680,856 is 233258591880.
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FAQs on LCM of 346, 522, 710, 680, 856
1. What is the LCM of 346, 522, 710, 680, 856?
Answer: LCM of 346, 522, 710, 680, 856 is 233258591880.
2. How to calculate the LCM of 346, 522, 710, 680, 856?
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 346, 522, 710, 680, 856.
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}.