LCM of 484, 781, 767, 812
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 484, 781, 767, 812 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 484, 781, 767, 812. So, keep reading to learn more.
Given numbers are 484,781,767,812
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 484,781,767,812 is 5350509164.
Find LCM of 484,781,767,812 with Prime Factorization
| 2 | 484, 781, 767, 812 |
| 2 | 242, 781, 767, 406 |
| 11 | 121, 781, 767, 203 |
| 11, 71, 767, 203 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 11 x 71 x 767 x 203 = 5350509164
Therefore, the lowest common multiple of 484,781,767,812 is 5350509164.
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.
484 x 781 x 767 x 812 = 235422403216
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.
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
781 : 1, 11, 71, 781
767 : 1, 13, 59, 767
812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 484,781,767,812, is 1.
Now, the common factors can be found like this.
484:2x 2x 11x 11
781:11x 71
767:13x 59
812:2x 2x 7x 29
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 11 = 44
Therefore, the value for common factors is 44.
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 = 235422403216/(1x44)
LCM = 235422403216/44
LCM = 5350509164
Thus, we can understand that the LCM of 484,781,767,812 is 5350509164.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 484, 781, 767, 812
1. What is the LCM of 484, 781, 767, 812?
Answer: LCM of 484, 781, 767, 812 is 5350509164.
2. How to calculate the LCM of 484, 781, 767, 812?
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 484, 781, 767, 812.
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}.