LCM of 912, 504, 943, 507, 741
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 912, 504, 943, 507, 741 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 912, 504, 943, 507, 741. So, keep reading to learn more.
Given numbers are 912,504,943,507,741
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 912,504,943,507,741 is 3052196784.
Find LCM of 912,504,943,507,741 with Prime Factorization
| 2 | 912, 504, 943, 507, 741 |
| 2 | 456, 252, 943, 507, 741 |
| 2 | 228, 126, 943, 507, 741 |
| 3 | 114, 63, 943, 507, 741 |
| 13 | 38, 21, 943, 169, 247 |
| 19 | 38, 21, 943, 13, 19 |
| 2, 21, 943, 13, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 13 x 19 x 2 x 21 x 943 x 13 x 1 = 3052196784
Therefore, the lowest common multiple of 912,504,943,507,741 is 3052196784.
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.
912 x 504 x 943 x 507 x 741 = 162840802819968
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.
912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
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
943 : 1, 23, 41, 943
507 : 1, 3, 13, 39, 169, 507
741 : 1, 3, 13, 19, 39, 57, 247, 741
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 912,504,943,507,741, is 1.
Now, the common factors can be found like this.
912:2x 2x 2x 2x 3x 19
504:2x 2x 2x 3x 3x 7
943:23x 41
507:3x 13x 13
741:3x 13x 19
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 3x 13x 19 = 53352
Therefore, the value for common factors is 53352.
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 = 162840802819968/(1x53352)
LCM = 162840802819968/53352
LCM = 3052196784
Thus, we can understand that the LCM of 912,504,943,507,741 is 3052196784.
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FAQs on LCM of 912, 504, 943, 507, 741
1. What is the LCM of 912, 504, 943, 507, 741?
Answer: LCM of 912, 504, 943, 507, 741 is 3052196784.
2. How to calculate the LCM of 912, 504, 943, 507, 741?
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 912, 504, 943, 507, 741.
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}.