LCM of 447, 845, 507, 676
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 447, 845, 507, 676 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 447, 845, 507, 676. So, keep reading to learn more.
Given numbers are 447,845,507,676
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 447,845,507,676 is 1510860.
Find LCM of 447,845,507,676 with Prime Factorization
| 3 | 447, 845, 507, 676 |
| 13 | 149, 845, 169, 676 |
| 13 | 149, 65, 13, 52 |
| 149, 5, 1, 4 |
Multiply the prime numbers at the bottom and the left side.
3 x 13 x 13 x 149 x 5 x 1 x 4 = 1510860
Therefore, the lowest common multiple of 447,845,507,676 is 1510860.
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.
447 x 845 x 507 x 676 = 129455017380
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.
447 : 1, 3, 149, 447
845 : 1, 5, 13, 65, 169, 845
507 : 1, 3, 13, 39, 169, 507
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 447,845,507,676, is 1.
Now, the common factors can be found like this.
447:3x 149
845:5x 13x 13
507:3x 13x 13
676:2x 2x 13x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 13x 13x 13x 13 = 85683
Therefore, the value for common factors is 85683.
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 = 129455017380/(1x85683)
LCM = 129455017380/85683
LCM = 1510860
Thus, we can understand that the LCM of 447,845,507,676 is 1510860.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 447, 845, 507, 676
1. What is the LCM of 447, 845, 507, 676?
Answer: LCM of 447, 845, 507, 676 is 1510860.
2. How to calculate the LCM of 447, 845, 507, 676?
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 447, 845, 507, 676.
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}.