LCM of 776, 824, 740, 629
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 776, 824, 740, 629 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 776, 824, 740, 629. So, keep reading to learn more.
Given numbers are 776,824,740,629
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 776,824,740,629 is 251373560.
Find LCM of 776,824,740,629 with Prime Factorization
| 2 | 776, 824, 740, 629 |
| 2 | 388, 412, 370, 629 |
| 2 | 194, 206, 185, 629 |
| 37 | 97, 103, 185, 629 |
| 97, 103, 5, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 37 x 97 x 103 x 5 x 17 = 251373560
Therefore, the lowest common multiple of 776,824,740,629 is 251373560.
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.
776 x 824 x 740 x 629 = 297626295040
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.
776 : 1, 2, 4, 8, 97, 194, 388, 776
824 : 1, 2, 4, 8, 103, 206, 412, 824
740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
629 : 1, 17, 37, 629
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 776,824,740,629, is 1.
Now, the common factors can be found like this.
776:2x 2x 2x 97
824:2x 2x 2x 103
740:2x 2x 5x 37
629:17x 37
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 2x 37 = 1184
Therefore, the value for common factors is 1184.
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 = 297626295040/(1x1184)
LCM = 297626295040/1184
LCM = 251373560
Thus, we can understand that the LCM of 776,824,740,629 is 251373560.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 776, 824, 740, 629
1. What is the LCM of 776, 824, 740, 629?
Answer: LCM of 776, 824, 740, 629 is 251373560.
2. How to calculate the LCM of 776, 824, 740, 629?
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 776, 824, 740, 629.
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}.