LCM of 721, 748, 969, 684
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 721, 748, 969, 684 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 721, 748, 969, 684. So, keep reading to learn more.
Given numbers are 721,748,969,684
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 721,748,969,684 is 92221668.
Find LCM of 721,748,969,684 with Prime Factorization
| 2 | 721, 748, 969, 684 |
| 2 | 721, 374, 969, 342 |
| 3 | 721, 187, 969, 171 |
| 17 | 721, 187, 323, 57 |
| 19 | 721, 11, 19, 57 |
| 721, 11, 1, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 17 x 19 x 721 x 11 x 1 x 3 = 92221668
Therefore, the lowest common multiple of 721,748,969,684 is 92221668.
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.
721 x 748 x 969 x 684 = 357451185168
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.
721 : 1, 7, 103, 721
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
969 : 1, 3, 17, 19, 51, 57, 323, 969
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 721,748,969,684, is 1.
Now, the common factors can be found like this.
721:7x 103
748:2x 2x 11x 17
969:3x 17x 19
684:2x 2x 3x 3x 19
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 3x 17x 19 = 3876
Therefore, the value for common factors is 3876.
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 = 357451185168/(1x3876)
LCM = 357451185168/3876
LCM = 92221668
Thus, we can understand that the LCM of 721,748,969,684 is 92221668.
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FAQs on LCM of 721, 748, 969, 684
1. What is the LCM of 721, 748, 969, 684?
Answer: LCM of 721, 748, 969, 684 is 92221668.
2. How to calculate the LCM of 721, 748, 969, 684?
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 721, 748, 969, 684.
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}.