LCM of 761, 741, 112, 107, 455
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 761, 741, 112, 107, 455 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 761, 741, 112, 107, 455. So, keep reading to learn more.
Given numbers are 761,741,112,107,455
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 761,741,112,107,455 is 33788947920.
Find LCM of 761,741,112,107,455 with Prime Factorization
| 7 | 761, 741, 112, 107, 455 |
| 13 | 761, 741, 16, 107, 65 |
| 761, 57, 16, 107, 5 |
Multiply the prime numbers at the bottom and the left side.
7 x 13 x 761 x 57 x 16 x 107 x 5 = 33788947920
Therefore, the lowest common multiple of 761,741,112,107,455 is 33788947920.
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.
761 x 741 x 112 x 107 x 455 = 3074794260720
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.
761 : 1, 761
741 : 1, 3, 13, 19, 39, 57, 247, 741
112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112
107 : 1, 107
455 : 1, 5, 7, 13, 35, 65, 91, 455
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 761,741,112,107,455, is 1.
Now, the common factors can be found like this.
761:761
741:3x 13x 19
112:2x 2x 2x 2x 7
107:107
455:5x 7x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7x 13 = 91
Therefore, the value for common factors is 91.
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 = 3074794260720/(1x91)
LCM = 3074794260720/91
LCM = 33788947920
Thus, we can understand that the LCM of 761,741,112,107,455 is 33788947920.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 761, 741, 112, 107, 455
1. What is the LCM of 761, 741, 112, 107, 455?
Answer: LCM of 761, 741, 112, 107, 455 is 33788947920.
2. How to calculate the LCM of 761, 741, 112, 107, 455?
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 761, 741, 112, 107, 455.
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}.