LCM of 830, 767, 715, 322
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 830, 767, 715, 322 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 830, 767, 715, 322. So, keep reading to learn more.
Given numbers are 830,767,715,322
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 830,767,715,322 is 1127436310.
Find LCM of 830,767,715,322 with Prime Factorization
| 2 | 830, 767, 715, 322 |
| 5 | 415, 767, 715, 161 |
| 13 | 83, 767, 143, 161 |
| 83, 59, 11, 161 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 13 x 83 x 59 x 11 x 161 = 1127436310
Therefore, the lowest common multiple of 830,767,715,322 is 1127436310.
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.
830 x 767 x 715 x 322 = 146566720300
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.
830 : 1, 2, 5, 10, 83, 166, 415, 830
767 : 1, 13, 59, 767
715 : 1, 5, 11, 13, 55, 65, 143, 715
322 : 1, 2, 7, 14, 23, 46, 161, 322
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 830,767,715,322, is 1.
Now, the common factors can be found like this.
830:2x 5x 83
767:13x 59
715:5x 11x 13
322:2x 7x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 13 = 130
Therefore, the value for common factors is 130.
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 = 146566720300/(1x130)
LCM = 146566720300/130
LCM = 1127436310
Thus, we can understand that the LCM of 830,767,715,322 is 1127436310.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 830, 767, 715, 322
1. What is the LCM of 830, 767, 715, 322?
Answer: LCM of 830, 767, 715, 322 is 1127436310.
2. How to calculate the LCM of 830, 767, 715, 322?
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 830, 767, 715, 322.
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}.