LCM of 828, 920, 191, 690, 372
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 828, 920, 191, 690, 372 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 828, 920, 191, 690, 372. So, keep reading to learn more.
Given numbers are 828,920,191,690,372
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 828,920,191,690,372 is 49025880.
Find LCM of 828,920,191,690,372 with Prime Factorization
| 2 | 828, 920, 191, 690, 372 |
| 2 | 414, 460, 191, 345, 186 |
| 3 | 207, 230, 191, 345, 93 |
| 5 | 69, 230, 191, 115, 31 |
| 23 | 69, 46, 191, 23, 31 |
| 3, 2, 191, 1, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 23 x 3 x 2 x 191 x 1 x 31 = 49025880
Therefore, the lowest common multiple of 828,920,191,690,372 is 49025880.
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.
828 x 920 x 191 x 690 x 372 = 37345954348800
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.
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
191 : 1, 191
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,920,191,690,372, is 1.
Now, the common factors can be found like this.
828:2x 2x 3x 3x 23
920:2x 2x 2x 5x 23
191:191
690:2x 3x 5x 23
372:2x 2x 3x 31
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 3x 3x 5x 23x 23 = 761760
Therefore, the value for common factors is 761760.
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 = 37345954348800/(1x761760)
LCM = 37345954348800/761760
LCM = 49025880
Thus, we can understand that the LCM of 828,920,191,690,372 is 49025880.
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FAQs on LCM of 828, 920, 191, 690, 372
1. What is the LCM of 828, 920, 191, 690, 372?
Answer: LCM of 828, 920, 191, 690, 372 is 49025880.
2. How to calculate the LCM of 828, 920, 191, 690, 372?
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 828, 920, 191, 690, 372.
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}.