LCM of 507, 412, 378, 847, 143
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 507, 412, 378, 847, 143 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 507, 412, 378, 847, 143. So, keep reading to learn more.
Given numbers are 507,412,378,847,143
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 507,412,378,847,143 is 1592322732.
Find LCM of 507,412,378,847,143 with Prime Factorization
| 2 | 507, 412, 378, 847, 143 |
| 3 | 507, 206, 189, 847, 143 |
| 7 | 169, 206, 63, 847, 143 |
| 11 | 169, 206, 9, 121, 143 |
| 13 | 169, 206, 9, 11, 13 |
| 1, 206, 9, 11, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 11 x 13 x 1 x 206 x 9 x 11 x 13 = 1592322732
Therefore, the lowest common multiple of 507,412,378,847,143 is 1592322732.
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.
507 x 412 x 378 x 847 x 143 = 9563490328392
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.
507 : 1, 3, 13, 39, 169, 507
412 : 1, 2, 4, 103, 206, 412
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
847 : 1, 7, 11, 77, 121, 847
143 : 1, 11, 13, 143
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 507,412,378,847,143, is 1.
Now, the common factors can be found like this.
507:3x 13x 13
412:2x 2x 103
378:2x 3x 3x 3x 7
847:7x 11x 11
143:11x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 7x 11x 13 = 6006
Therefore, the value for common factors is 6006.
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 = 9563490328392/(1x6006)
LCM = 9563490328392/6006
LCM = 1592322732
Thus, we can understand that the LCM of 507,412,378,847,143 is 1592322732.
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FAQs on LCM of 507, 412, 378, 847, 143
1. What is the LCM of 507, 412, 378, 847, 143?
Answer: LCM of 507, 412, 378, 847, 143 is 1592322732.
2. How to calculate the LCM of 507, 412, 378, 847, 143?
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 507, 412, 378, 847, 143.
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}.