LCM of 348, 909, 716, 783, 228
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 348, 909, 716, 783, 228 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 348, 909, 716, 783, 228. So, keep reading to learn more.
Given numbers are 348,909,716,783,228
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 348,909,716,783,228 is 1075845132.
Find LCM of 348,909,716,783,228 with Prime Factorization
| 2 | 348, 909, 716, 783, 228 |
| 2 | 174, 909, 358, 783, 114 |
| 3 | 87, 909, 179, 783, 57 |
| 3 | 29, 303, 179, 261, 19 |
| 29 | 29, 101, 179, 87, 19 |
| 1, 101, 179, 3, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 29 x 1 x 101 x 179 x 3 x 19 = 1075845132
Therefore, the lowest common multiple of 348,909,716,783,228 is 1075845132.
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.
348 x 909 x 716 x 783 x 228 = 40434563441088
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.
348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
909 : 1, 3, 9, 101, 303, 909
716 : 1, 2, 4, 179, 358, 716
783 : 1, 3, 9, 27, 29, 87, 261, 783
228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 348,909,716,783,228, is 1.
Now, the common factors can be found like this.
348:2x 2x 3x 29
909:3x 3x 101
716:2x 2x 179
783:3x 3x 3x 29
228:2x 2x 3x 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 2x 2x 3x 3x 3x 3x 29 = 37584
Therefore, the value for common factors is 37584.
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 = 40434563441088/(1x37584)
LCM = 40434563441088/37584
LCM = 1075845132
Thus, we can understand that the LCM of 348,909,716,783,228 is 1075845132.
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FAQs on LCM of 348, 909, 716, 783, 228
1. What is the LCM of 348, 909, 716, 783, 228?
Answer: LCM of 348, 909, 716, 783, 228 is 1075845132.
2. How to calculate the LCM of 348, 909, 716, 783, 228?
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 348, 909, 716, 783, 228.
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}.