Find the LCM of 767, 922, 708, 730 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 767, 922, 708, 730. So, keep reading to learn more.
Given numbers are 767,922,708,730
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 767,922,708,730 is 1548711060.
Find LCM of 767,922,708,730 with Prime Factorization
2 | 767, 922, 708, 730 |
59 | 767, 461, 354, 365 |
13, 461, 6, 365 |
Multiply the prime numbers at the bottom and the left side.
2 x 59 x 13 x 461 x 6 x 365 = 1548711060
Therefore, the lowest common multiple of 767,922,708,730 is 1548711060.
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.
767 x 922 x 708 x 730 = 365495810160
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.
767 : 1, 13, 59, 767
922 : 1, 2, 461, 922
708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
730 : 1, 2, 5, 10, 73, 146, 365, 730
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 767,922,708,730, is 1.
Now, the common factors can be found like this.
767:13x 59
922:2x 461
708:2x 2x 3x 59
730:2x 5x 73
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 59 = 236
Therefore, the value for common factors is 236.
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 = 365495810160/(1x236)
LCM = 365495810160/236
LCM = 1548711060
Thus, we can understand that the LCM of 767,922,708,730 is 1548711060.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 767, 922, 708, 730?
Answer: LCM of 767, 922, 708, 730 is 1548711060.
2. How to calculate the LCM of 767, 922, 708, 730?
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 767, 922, 708, 730.
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}.