LCM of 772, 708, 965, 577, 803
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 772, 708, 965, 577, 803 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 772, 708, 965, 577, 803. So, keep reading to learn more.
Given numbers are 772,708,965,577,803
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 772,708,965,577,803 is 316557005820.
Find LCM of 772,708,965,577,803 with Prime Factorization
| 2 | 772, 708, 965, 577, 803 |
| 2 | 386, 354, 965, 577, 803 |
| 193 | 193, 177, 965, 577, 803 |
| 1, 177, 5, 577, 803 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 193 x 1 x 177 x 5 x 577 x 803 = 316557005820
Therefore, the lowest common multiple of 772,708,965,577,803 is 316557005820.
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.
772 x 708 x 965 x 577 x 803 = 244382008493040
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.
772 : 1, 2, 4, 193, 386, 772
708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
965 : 1, 5, 193, 965
577 : 1, 577
803 : 1, 11, 73, 803
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 772,708,965,577,803, is 1.
Now, the common factors can be found like this.
772:2x 2x 193
708:2x 2x 3x 59
965:5x 193
577:577
803:11x 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 193 = 772
Therefore, the value for common factors is 772.
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 = 244382008493040/(1x772)
LCM = 244382008493040/772
LCM = 316557005820
Thus, we can understand that the LCM of 772,708,965,577,803 is 316557005820.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 772, 708, 965, 577, 803
1. What is the LCM of 772, 708, 965, 577, 803?
Answer: LCM of 772, 708, 965, 577, 803 is 316557005820.
2. How to calculate the LCM of 772, 708, 965, 577, 803?
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 772, 708, 965, 577, 803.
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}.