LCM of 321, 599, 126, 741, 629
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 321, 599, 126, 741, 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 321, 599, 126, 741, 629. So, keep reading to learn more.
Given numbers are 321,599,126,741,629
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 321,599,126,741,629 is 1254667775634.
Find LCM of 321,599,126,741,629 with Prime Factorization
| 3 | 321, 599, 126, 741, 629 |
| 107, 599, 42, 247, 629 |
Multiply the prime numbers at the bottom and the left side.
3 x 107 x 599 x 42 x 247 x 629 = 1254667775634
Therefore, the lowest common multiple of 321,599,126,741,629 is 1254667775634.
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.
321 x 599 x 126 x 741 x 629 = 11292009980706
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.
321 : 1, 3, 107, 321
599 : 1, 599
126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
741 : 1, 3, 13, 19, 39, 57, 247, 741
629 : 1, 17, 37, 629
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 321,599,126,741,629, is 1.
Now, the common factors can be found like this.
321:3x 107
599:599
126:2x 3x 3x 7
741:3x 13x 19
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.
3x 3 = 9
Therefore, the value for common factors is 9.
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 = 11292009980706/(1x9)
LCM = 11292009980706/9
LCM = 1254667775634
Thus, we can understand that the LCM of 321,599,126,741,629 is 1254667775634.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 321, 599, 126, 741, 629
1. What is the LCM of 321, 599, 126, 741, 629?
Answer: LCM of 321, 599, 126, 741, 629 is 1254667775634.
2. How to calculate the LCM of 321, 599, 126, 741, 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 321, 599, 126, 741, 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}.