LCM of 507, 441, 746, 286
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 507, 441, 746, 286 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, 441, 746, 286. So, keep reading to learn more.
Given numbers are 507,441,746,286
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 507,441,746,286 is 611584974.
Find LCM of 507,441,746,286 with Prime Factorization
| 2 | 507, 441, 746, 286 |
| 3 | 507, 441, 373, 143 |
| 13 | 169, 147, 373, 143 |
| 13, 147, 373, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 13 x 147 x 373 x 11 = 611584974
Therefore, the lowest common multiple of 507,441,746,286 is 611584974.
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 441 x 746 x 286 = 47703627972
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
441 : 1, 3, 7, 9, 21, 49, 63, 147, 441
746 : 1, 2, 373, 746
286 : 1, 2, 11, 13, 22, 26, 143, 286
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 507,441,746,286, is 1.
Now, the common factors can be found like this.
507:3x 13x 13
441:3x 3x 7x 7
746:2x 373
286:2x 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 13 = 78
Therefore, the value for common factors is 78.
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 = 47703627972/(1x78)
LCM = 47703627972/78
LCM = 611584974
Thus, we can understand that the LCM of 507,441,746,286 is 611584974.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 507, 441, 746, 286
1. What is the LCM of 507, 441, 746, 286?
Answer: LCM of 507, 441, 746, 286 is 611584974.
2. How to calculate the LCM of 507, 441, 746, 286?
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, 441, 746, 286.
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}.