LCM of 830, 728, 952, 770
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 830, 728, 952, 770 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, 728, 952, 770. So, keep reading to learn more.
Given numbers are 830,728,952,770
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 830,728,952,770 is 56496440.
Find LCM of 830,728,952,770 with Prime Factorization
| 2 | 830, 728, 952, 770 |
| 2 | 415, 364, 476, 385 |
| 2 | 415, 182, 238, 385 |
| 5 | 415, 91, 119, 385 |
| 7 | 83, 91, 119, 77 |
| 83, 13, 17, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 7 x 83 x 13 x 17 x 11 = 56496440
Therefore, the lowest common multiple of 830,728,952,770 is 56496440.
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 728 x 952 x 770 = 442932089600
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
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 830,728,952,770, is 2.
Now, the common factors can be found like this.
830:2x 5x 83
728:2x 2x 2x 7x 13
952:2x 2x 2x 7x 17
770:2x 5x 7x 11
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 5x 7x 7 = 3920
Therefore, the value for common factors is 3920.
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 = 442932089600/(2x3920)
LCM = 442932089600/7840
LCM = 56496440
Thus, we can understand that the LCM of 830,728,952,770 is 56496440.
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FAQs on LCM of 830, 728, 952, 770
1. What is the LCM of 830, 728, 952, 770?
Answer: LCM of 830, 728, 952, 770 is 56496440.
2. How to calculate the LCM of 830, 728, 952, 770?
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, 728, 952, 770.
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}.