Find the LCM of 510, 559, 807, 796, 754 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 510, 559, 807, 796, 754. So, keep reading to learn more.
Given numbers are 510,559,807,796,754
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 510,559,807,796,754 is 885146861820.
Find LCM of 510,559,807,796,754 with Prime Factorization
2 | 510, 559, 807, 796, 754 |
3 | 255, 559, 807, 398, 377 |
13 | 85, 559, 269, 398, 377 |
85, 43, 269, 398, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 85 x 43 x 269 x 398 x 29 = 885146861820
Therefore, the lowest common multiple of 510,559,807,796,754 is 885146861820.
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.
510 x 559 x 807 x 796 x 754 = 138082910443920
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.
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
559 : 1, 13, 43, 559
807 : 1, 3, 269, 807
796 : 1, 2, 4, 199, 398, 796
754 : 1, 2, 13, 26, 29, 58, 377, 754
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 510,559,807,796,754, is 1.
Now, the common factors can be found like this.
510:2x 3x 5x 17
559:13x 43
807:3x 269
796:2x 2x 199
754:2x 13x 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 3x 13 = 156
Therefore, the value for common factors is 156.
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 = 138082910443920/(1x156)
LCM = 138082910443920/156
LCM = 885146861820
Thus, we can understand that the LCM of 510,559,807,796,754 is 885146861820.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 510, 559, 807, 796, 754?
Answer: LCM of 510, 559, 807, 796, 754 is 885146861820.
2. How to calculate the LCM of 510, 559, 807, 796, 754?
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 510, 559, 807, 796, 754.
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}.