LCM of 611, 322, 599, 790, 845
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 611, 322, 599, 790, 845 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 611, 322, 599, 790, 845. So, keep reading to learn more.
Given numbers are 611,322,599,790,845
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 611,322,599,790,845 is 605151831830.
Find LCM of 611,322,599,790,845 with Prime Factorization
| 2 | 611, 322, 599, 790, 845 |
| 5 | 611, 161, 599, 395, 845 |
| 13 | 611, 161, 599, 79, 169 |
| 47, 161, 599, 79, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 13 x 47 x 161 x 599 x 79 x 13 = 605151831830
Therefore, the lowest common multiple of 611,322,599,790,845 is 605151831830.
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.
611 x 322 x 599 x 790 x 845 = 78669738137900
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.
611 : 1, 13, 47, 611
322 : 1, 2, 7, 14, 23, 46, 161, 322
599 : 1, 599
790 : 1, 2, 5, 10, 79, 158, 395, 790
845 : 1, 5, 13, 65, 169, 845
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 611,322,599,790,845, is 1.
Now, the common factors can be found like this.
611:13x 47
322:2x 7x 23
599:599
790:2x 5x 79
845:5x 13x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 13 = 130
Therefore, the value for common factors is 130.
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 = 78669738137900/(1x130)
LCM = 78669738137900/130
LCM = 605151831830
Thus, we can understand that the LCM of 611,322,599,790,845 is 605151831830.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 611, 322, 599, 790, 845
1. What is the LCM of 611, 322, 599, 790, 845?
Answer: LCM of 611, 322, 599, 790, 845 is 605151831830.
2. How to calculate the LCM of 611, 322, 599, 790, 845?
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 611, 322, 599, 790, 845.
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}.