LCM of 505, 303, 828, 349
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 505, 303, 828, 349 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 505, 303, 828, 349. So, keep reading to learn more.
Given numbers are 505,303,828,349
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 505,303,828,349 is 145930860.
Find LCM of 505,303,828,349 with Prime Factorization
| 3 | 505, 303, 828, 349 |
| 101 | 505, 101, 276, 349 |
| 5, 1, 276, 349 |
Multiply the prime numbers at the bottom and the left side.
3 x 101 x 5 x 1 x 276 x 349 = 145930860
Therefore, the lowest common multiple of 505,303,828,349 is 145930860.
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.
505 x 303 x 828 x 349 = 44217050580
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.
505 : 1, 5, 101, 505
303 : 1, 3, 101, 303
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
349 : 1, 349
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 505,303,828,349, is 1.
Now, the common factors can be found like this.
505:5x 101
303:3x 101
828:2x 2x 3x 3x 23
349:349
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 101 = 303
Therefore, the value for common factors is 303.
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 = 44217050580/(1x303)
LCM = 44217050580/303
LCM = 145930860
Thus, we can understand that the LCM of 505,303,828,349 is 145930860.
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FAQs on LCM of 505, 303, 828, 349
1. What is the LCM of 505, 303, 828, 349?
Answer: LCM of 505, 303, 828, 349 is 145930860.
2. How to calculate the LCM of 505, 303, 828, 349?
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 505, 303, 828, 349.
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}.