LCM of 721, 745, 770, 990
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 721, 745, 770, 990 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, 745, 770, 990. So, keep reading to learn more.
Given numbers are 721,745,770,990
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 721,745,770,990 is 106354710.
Find LCM of 721,745,770,990 with Prime Factorization
| 2 | 721, 745, 770, 990 |
| 5 | 721, 745, 385, 495 |
| 7 | 721, 149, 77, 99 |
| 11 | 103, 149, 11, 99 |
| 103, 149, 1, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 11 x 103 x 149 x 1 x 9 = 106354710
Therefore, the lowest common multiple of 721,745,770,990 is 106354710.
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 745 x 770 x 990 = 409465633500
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
745 : 1, 5, 149, 745
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 721,745,770,990, is 1.
Now, the common factors can be found like this.
721:7x 103
745:5x 149
770:2x 5x 7x 11
990:2x 3x 3x 5x 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 5x 5x 7x 11 = 3850
Therefore, the value for common factors is 3850.
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 = 409465633500/(1x3850)
LCM = 409465633500/3850
LCM = 106354710
Thus, we can understand that the LCM of 721,745,770,990 is 106354710.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 721, 745, 770, 990
1. What is the LCM of 721, 745, 770, 990?
Answer: LCM of 721, 745, 770, 990 is 106354710.
2. How to calculate the LCM of 721, 745, 770, 990?
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, 745, 770, 990.
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}.