Find the LCM of 712, 765, 467, 748, 612 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 712, 765, 467, 748, 612. So, keep reading to learn more.
Given numbers are 712,765,467,748,612
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 712,765,467,748,612 is 2798021160.
Find LCM of 712,765,467,748,612 with Prime Factorization
2 | 712, 765, 467, 748, 612 |
2 | 356, 765, 467, 374, 306 |
3 | 178, 765, 467, 187, 153 |
3 | 178, 255, 467, 187, 51 |
17 | 178, 85, 467, 187, 17 |
178, 5, 467, 11, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 17 x 178 x 5 x 467 x 11 x 1 = 2798021160
Therefore, the lowest common multiple of 712,765,467,748,612 is 2798021160.
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.
712 x 765 x 467 x 748 x 612 = 116442448594560
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.
712 : 1, 2, 4, 8, 89, 178, 356, 712
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
467 : 1, 467
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 712,765,467,748,612, is 1.
Now, the common factors can be found like this.
712:2x 2x 2x 89
765:3x 3x 5x 17
467:467
748:2x 2x 11x 17
612:2x 2x 3x 3x 17
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 2x 3x 3x 17x 17 = 41616
Therefore, the value for common factors is 41616.
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 = 116442448594560/(1x41616)
LCM = 116442448594560/41616
LCM = 2798021160
Thus, we can understand that the LCM of 712,765,467,748,612 is 2798021160.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 712, 765, 467, 748, 612?
Answer: LCM of 712, 765, 467, 748, 612 is 2798021160.
2. How to calculate the LCM of 712, 765, 467, 748, 612?
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 712, 765, 467, 748, 612.
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}.