LCM of 764, 108, 722, 646
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 764, 108, 722, 646 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 764, 108, 722, 646. So, keep reading to learn more.
Given numbers are 764,108,722,646
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 764,108,722,646 is 126594036.
Find LCM of 764,108,722,646 with Prime Factorization
| 2 | 764, 108, 722, 646 |
| 2 | 382, 54, 361, 323 |
| 19 | 191, 27, 361, 323 |
| 191, 27, 19, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 19 x 191 x 27 x 19 x 17 = 126594036
Therefore, the lowest common multiple of 764,108,722,646 is 126594036.
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.
764 x 108 x 722 x 646 = 38484586944
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.
764 : 1, 2, 4, 191, 382, 764
108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
722 : 1, 2, 19, 38, 361, 722
646 : 1, 2, 17, 19, 34, 38, 323, 646
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 764,108,722,646, is 2.
Now, the common factors can be found like this.
764:2x 2x 191
108:2x 2x 3x 3x 3
722:2x 19x 19
646:2x 17x 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 2x 19 = 152
Therefore, the value for common factors is 152.
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 = 38484586944/(2x152)
LCM = 38484586944/304
LCM = 126594036
Thus, we can understand that the LCM of 764,108,722,646 is 126594036.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 764, 108, 722, 646
1. What is the LCM of 764, 108, 722, 646?
Answer: LCM of 764, 108, 722, 646 is 126594036.
2. How to calculate the LCM of 764, 108, 722, 646?
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 764, 108, 722, 646.
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}.