Find the LCM of 726, 978, 767, 255, 429 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 726, 978, 767, 255, 429. So, keep reading to learn more.
Given numbers are 726,978,767,255,429
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 726,978,767,255,429 is 7715045910.
Find LCM of 726,978,767,255,429 with Prime Factorization
2 | 726, 978, 767, 255, 429 |
3 | 363, 489, 767, 255, 429 |
11 | 121, 163, 767, 85, 143 |
13 | 11, 163, 767, 85, 13 |
11, 163, 59, 85, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 13 x 11 x 163 x 59 x 85 x 1 = 7715045910
Therefore, the lowest common multiple of 726,978,767,255,429 is 7715045910.
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.
726 x 978 x 767 x 255 x 429 = 59575584517020
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.
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
978 : 1, 2, 3, 6, 163, 326, 489, 978
767 : 1, 13, 59, 767
255 : 1, 3, 5, 15, 17, 51, 85, 255
429 : 1, 3, 11, 13, 33, 39, 143, 429
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 726,978,767,255,429, is 1.
Now, the common factors can be found like this.
726:2x 3x 11x 11
978:2x 3x 163
767:13x 59
255:3x 5x 17
429:3x 11x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 11x 13 = 7722
Therefore, the value for common factors is 7722.
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 = 59575584517020/(1x7722)
LCM = 59575584517020/7722
LCM = 7715045910
Thus, we can understand that the LCM of 726,978,767,255,429 is 7715045910.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 726, 978, 767, 255, 429?
Answer: LCM of 726, 978, 767, 255, 429 is 7715045910.
2. How to calculate the LCM of 726, 978, 767, 255, 429?
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 726, 978, 767, 255, 429.
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}.