Find the LCM of 716, 762, 697, 544, 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 716, 762, 697, 544, 812. So, keep reading to learn more.
Given numbers are 716,762,697,544,812
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 716,762,697,544,812 is 308785430688.
Find LCM of 716,762,697,544,812 with Prime Factorization
2 | 716, 762, 697, 544, 812 |
2 | 358, 381, 697, 272, 406 |
17 | 179, 381, 697, 136, 203 |
179, 381, 41, 8, 203 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 17 x 179 x 381 x 41 x 8 x 203 = 308785430688
Therefore, the lowest common multiple of 716,762,697,544,812 is 308785430688.
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.
716 x 762 x 697 x 544 x 812 = 167979274294272
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.
716 : 1, 2, 4, 179, 358, 716
762 : 1, 2, 3, 6, 127, 254, 381, 762
697 : 1, 17, 41, 697
544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544
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 716,762,697,544,812, is 1.
Now, the common factors can be found like this.
716:2x 2x 179
762:2x 3x 127
697:17x 41
544:2x 2x 2x 2x 2x 17
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 2x 2x 2x 17 = 544
Therefore, the value for common factors is 544.
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 = 167979274294272/(1x544)
LCM = 167979274294272/544
LCM = 308785430688
Thus, we can understand that the LCM of 716,762,697,544,812 is 308785430688.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 716, 762, 697, 544, 812?
Answer: LCM of 716, 762, 697, 544, 812 is 308785430688.
2. How to calculate the LCM of 716, 762, 697, 544, 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 716, 762, 697, 544, 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}.