LCM of 504, 345, 851, 147
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 504, 345, 851, 147 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 504, 345, 851, 147. So, keep reading to learn more.
Given numbers are 504,345,851,147
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 504,345,851,147 is 15011640.
Find LCM of 504,345,851,147 with Prime Factorization
| 3 | 504, 345, 851, 147 |
| 7 | 168, 115, 851, 49 |
| 23 | 24, 115, 851, 7 |
| 24, 5, 37, 7 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 23 x 24 x 5 x 37 x 7 = 15011640
Therefore, the lowest common multiple of 504,345,851,147 is 15011640.
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.
504 x 345 x 851 x 147 = 21751866360
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.
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
345 : 1, 3, 5, 15, 23, 69, 115, 345
851 : 1, 23, 37, 851
147 : 1, 3, 7, 21, 49, 147
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 504,345,851,147, is 1.
Now, the common factors can be found like this.
504:2x 2x 2x 3x 3x 7
345:3x 5x 23
851:23x 37
147:3x 7x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 7x 23 = 1449
Therefore, the value for common factors is 1449.
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 = 21751866360/(1x1449)
LCM = 21751866360/1449
LCM = 15011640
Thus, we can understand that the LCM of 504,345,851,147 is 15011640.
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FAQs on LCM of 504, 345, 851, 147
1. What is the LCM of 504, 345, 851, 147?
Answer: LCM of 504, 345, 851, 147 is 15011640.
2. How to calculate the LCM of 504, 345, 851, 147?
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 504, 345, 851, 147.
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}.