LCM of 292, 623, 548, 629
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 292, 623, 548, 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 292, 623, 548, 629. So, keep reading to learn more.
Given numbers are 292,623,548,629
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 292,623,548,629 is 15676247468.
Find LCM of 292,623,548,629 with Prime Factorization
| 2 | 292, 623, 548, 629 |
| 2 | 146, 623, 274, 629 |
| 73, 623, 137, 629 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 73 x 623 x 137 x 629 = 15676247468
Therefore, the lowest common multiple of 292,623,548,629 is 15676247468.
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.
292 x 623 x 548 x 629 = 62704989872
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.
292 : 1, 2, 4, 73, 146, 292
623 : 1, 7, 89, 623
548 : 1, 2, 4, 137, 274, 548
629 : 1, 17, 37, 629
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 292,623,548,629, is 1.
Now, the common factors can be found like this.
292:2x 2x 73
623:7x 89
548:2x 2x 137
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 2 = 4
Therefore, the value for common factors is 4.
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 = 62704989872/(1x4)
LCM = 62704989872/4
LCM = 15676247468
Thus, we can understand that the LCM of 292,623,548,629 is 15676247468.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 292, 623, 548, 629
1. What is the LCM of 292, 623, 548, 629?
Answer: LCM of 292, 623, 548, 629 is 15676247468.
2. How to calculate the LCM of 292, 623, 548, 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 292, 623, 548, 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}.