LCM of 980, 545, 228, 504, 933
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 980, 545, 228, 504, 933 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 980, 545, 228, 504, 933. So, keep reading to learn more.
Given numbers are 980,545,228,504,933
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 980,545,228,504,933 is 11361588840.
Find LCM of 980,545,228,504,933 with Prime Factorization
| 2 | 980, 545, 228, 504, 933 |
| 2 | 490, 545, 114, 252, 933 |
| 3 | 245, 545, 57, 126, 933 |
| 5 | 245, 545, 19, 42, 311 |
| 7 | 49, 109, 19, 42, 311 |
| 7, 109, 19, 6, 311 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 7 x 7 x 109 x 19 x 6 x 311 = 11361588840
Therefore, the lowest common multiple of 980,545,228,504,933 is 11361588840.
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.
980 x 545 x 228 x 504 x 933 = 57262407753600
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.
980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
545 : 1, 5, 109, 545
228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
933 : 1, 3, 311, 933
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 980,545,228,504,933, is 1.
Now, the common factors can be found like this.
980:2x 2x 5x 7x 7
545:5x 109
228:2x 2x 3x 19
504:2x 2x 2x 3x 3x 7
933:3x 311
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 5x 7 = 5040
Therefore, the value for common factors is 5040.
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 = 57262407753600/(1x5040)
LCM = 57262407753600/5040
LCM = 11361588840
Thus, we can understand that the LCM of 980,545,228,504,933 is 11361588840.
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FAQs on LCM of 980, 545, 228, 504, 933
1. What is the LCM of 980, 545, 228, 504, 933?
Answer: LCM of 980, 545, 228, 504, 933 is 11361588840.
2. How to calculate the LCM of 980, 545, 228, 504, 933?
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 980, 545, 228, 504, 933.
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}.