LCM of 770, 745, 220, 796
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 770, 745, 220, 796 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 770, 745, 220, 796. So, keep reading to learn more.
Given numbers are 770,745,220,796
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 770,745,220,796 is 45662540.
Find LCM of 770,745,220,796 with Prime Factorization
| 2 | 770, 745, 220, 796 |
| 2 | 385, 745, 110, 398 |
| 5 | 385, 745, 55, 199 |
| 11 | 77, 149, 11, 199 |
| 7, 149, 1, 199 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 11 x 7 x 149 x 1 x 199 = 45662540
Therefore, the lowest common multiple of 770,745,220,796 is 45662540.
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.
770 x 745 x 220 x 796 = 100457588000
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.
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
745 : 1, 5, 149, 745
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
796 : 1, 2, 4, 199, 398, 796
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 770,745,220,796, is 1.
Now, the common factors can be found like this.
770:2x 5x 7x 11
745:5x 149
220:2x 2x 5x 11
796:2x 2x 199
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 5x 5x 11 = 2200
Therefore, the value for common factors is 2200.
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 = 100457588000/(1x2200)
LCM = 100457588000/2200
LCM = 45662540
Thus, we can understand that the LCM of 770,745,220,796 is 45662540.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 770, 745, 220, 796
1. What is the LCM of 770, 745, 220, 796?
Answer: LCM of 770, 745, 220, 796 is 45662540.
2. How to calculate the LCM of 770, 745, 220, 796?
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 770, 745, 220, 796.
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}.