LCM of 372, 807, 434, 301, 504
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 372, 807, 434, 301, 504 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 372, 807, 434, 301, 504. So, keep reading to learn more.
Given numbers are 372,807,434,301,504
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 372,807,434,301,504 is 180722808.
Find LCM of 372,807,434,301,504 with Prime Factorization
| 2 | 372, 807, 434, 301, 504 |
| 2 | 186, 807, 217, 301, 252 |
| 3 | 93, 807, 217, 301, 126 |
| 7 | 31, 269, 217, 301, 42 |
| 31 | 31, 269, 31, 43, 6 |
| 1, 269, 1, 43, 6 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 31 x 1 x 269 x 1 x 43 x 6 = 180722808
Therefore, the lowest common multiple of 372,807,434,301,504 is 180722808.
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.
372 x 807 x 434 x 301 x 504 = 19765292065344
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.
372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
807 : 1, 3, 269, 807
434 : 1, 2, 7, 14, 31, 62, 217, 434
301 : 1, 7, 43, 301
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
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 372,807,434,301,504, is 1.
Now, the common factors can be found like this.
372:2x 2x 3x 31
807:3x 269
434:2x 7x 31
301:7x 43
504:2x 2x 2x 3x 3x 7
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 3x 3x 7x 7x 31 = 109368
Therefore, the value for common factors is 109368.
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 = 19765292065344/(1x109368)
LCM = 19765292065344/109368
LCM = 180722808
Thus, we can understand that the LCM of 372,807,434,301,504 is 180722808.
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FAQs on LCM of 372, 807, 434, 301, 504
1. What is the LCM of 372, 807, 434, 301, 504?
Answer: LCM of 372, 807, 434, 301, 504 is 180722808.
2. How to calculate the LCM of 372, 807, 434, 301, 504?
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 372, 807, 434, 301, 504.
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}.