LCM of 313, 817, 520, 959, 532
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 313, 817, 520, 959, 532 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 313, 817, 520, 959, 532. So, keep reading to learn more.
Given numbers are 313,817,520,959,532
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 313,817,520,959,532 is 127522948280.
Find LCM of 313,817,520,959,532 with Prime Factorization
| 2 | 313, 817, 520, 959, 532 |
| 2 | 313, 817, 260, 959, 266 |
| 7 | 313, 817, 130, 959, 133 |
| 19 | 313, 817, 130, 137, 19 |
| 313, 43, 130, 137, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 19 x 313 x 43 x 130 x 137 x 1 = 127522948280
Therefore, the lowest common multiple of 313,817,520,959,532 is 127522948280.
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.
313 x 817 x 520 x 959 x 532 = 67842208484960
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.
313 : 1, 313
817 : 1, 19, 43, 817
520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
959 : 1, 7, 137, 959
532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 313,817,520,959,532, is 1.
Now, the common factors can be found like this.
313:313
817:19x 43
520:2x 2x 2x 5x 13
959:7x 137
532:2x 2x 7x 19
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 7x 19 = 532
Therefore, the value for common factors is 532.
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 = 67842208484960/(1x532)
LCM = 67842208484960/532
LCM = 127522948280
Thus, we can understand that the LCM of 313,817,520,959,532 is 127522948280.
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FAQs on LCM of 313, 817, 520, 959, 532
1. What is the LCM of 313, 817, 520, 959, 532?
Answer: LCM of 313, 817, 520, 959, 532 is 127522948280.
2. How to calculate the LCM of 313, 817, 520, 959, 532?
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 313, 817, 520, 959, 532.
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}.